290129
Mark \((\checkmark)\) against the correct answer in the following: If the ratio between the length and perimeter of a rectangular plot is 1 : 3, then the ratio between the length and breadth of the plot is:
1 1 : 2
2 2 : 1
3 3 : 2
4 2 : 3
Explanation:
2 : 1 Ratio in length and perimeter of a rectangle = 1 : 3 Let length = x, then perimeter = 3x \(\therefore\) Breadth \(=\frac{3\text{x}}{2}-\text{x}=\frac{\text{x}}{2}\) \(\therefore\) Ratio in length and breadth \(=\text{x}:\frac{\text{x}}{2}\) \(=2:1\)
09. MENSURATION
290302
The perimeter of a square is 144m, then the side of the square is ......
1 34m
2 36m
3 44m
4 38m
Explanation:
36m Perimeter of square = 4 × s = 144 Hence s = 144 ÷ 4 = 36m
09. MENSURATION
290130
In a garden, there are 10 rows and 12 columns of mango trees. the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. the length of the garden is:
1 20m
2 22m
3 24m
4 26m
Explanation:
24m Each row contains 12 plants. there are 11 gapes between the two corner trees (11 × 2) metres and 1 metre on each side is left. Length = (22 + 2)m = 24m
09. MENSURATION
290131
The two adjacent sides of a rectangle are 5x\(^{1}\) − 3y\(^{1}\) and x\(^{1}\) + 2xy. Find the perimeter:
1 12x\(^{1}\) + 5xy + 9y\(^{1}\)
2 12x\(^{1}\)- 6y\(_{\1}\)+ 4xy
3 7x\(^{1}\) - 3y\(^{1}\) + 4xy
4 8x\(^{1}\) - 8y\(^{1}\) + 3xy
Explanation:
12x\(^{1}\)- 6y\(_{\1}\)+ 4xy Given adjacent sides of a rectangle are 5x\(^{1}\) - 3y\(^{1}\)and x\(^{1}\)+ 2xy we know that the perimeter of a rectangle with adjacent sides a and b is 2 × (a + b) Perimeter = 2((5x\(^{1}\) - 3y\(^{1}\)) + (x\(^{1}\)+2xy)) = 2(6x\(^{1}\) -3y\(^{1}\)+ 2xy) = 12x\(^{1}\)- 6y\(^{1}\)+ 4xy = 12x\(^{1}\)- 6y\(^{1}\)+ 4xy \(\therefore\) Perimeter = 12x\(^{1}\)-6y\(^{1}\)+4xy
09. MENSURATION
290132
Expenses of painting a wall from one side at the rate of 35 per square metre are Rs. 21000. If the breadth of the wall is two-third of its length, what is the perimeter?
290129
Mark \((\checkmark)\) against the correct answer in the following: If the ratio between the length and perimeter of a rectangular plot is 1 : 3, then the ratio between the length and breadth of the plot is:
1 1 : 2
2 2 : 1
3 3 : 2
4 2 : 3
Explanation:
2 : 1 Ratio in length and perimeter of a rectangle = 1 : 3 Let length = x, then perimeter = 3x \(\therefore\) Breadth \(=\frac{3\text{x}}{2}-\text{x}=\frac{\text{x}}{2}\) \(\therefore\) Ratio in length and breadth \(=\text{x}:\frac{\text{x}}{2}\) \(=2:1\)
09. MENSURATION
290302
The perimeter of a square is 144m, then the side of the square is ......
1 34m
2 36m
3 44m
4 38m
Explanation:
36m Perimeter of square = 4 × s = 144 Hence s = 144 ÷ 4 = 36m
09. MENSURATION
290130
In a garden, there are 10 rows and 12 columns of mango trees. the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. the length of the garden is:
1 20m
2 22m
3 24m
4 26m
Explanation:
24m Each row contains 12 plants. there are 11 gapes between the two corner trees (11 × 2) metres and 1 metre on each side is left. Length = (22 + 2)m = 24m
09. MENSURATION
290131
The two adjacent sides of a rectangle are 5x\(^{1}\) − 3y\(^{1}\) and x\(^{1}\) + 2xy. Find the perimeter:
1 12x\(^{1}\) + 5xy + 9y\(^{1}\)
2 12x\(^{1}\)- 6y\(_{\1}\)+ 4xy
3 7x\(^{1}\) - 3y\(^{1}\) + 4xy
4 8x\(^{1}\) - 8y\(^{1}\) + 3xy
Explanation:
12x\(^{1}\)- 6y\(_{\1}\)+ 4xy Given adjacent sides of a rectangle are 5x\(^{1}\) - 3y\(^{1}\)and x\(^{1}\)+ 2xy we know that the perimeter of a rectangle with adjacent sides a and b is 2 × (a + b) Perimeter = 2((5x\(^{1}\) - 3y\(^{1}\)) + (x\(^{1}\)+2xy)) = 2(6x\(^{1}\) -3y\(^{1}\)+ 2xy) = 12x\(^{1}\)- 6y\(^{1}\)+ 4xy = 12x\(^{1}\)- 6y\(^{1}\)+ 4xy \(\therefore\) Perimeter = 12x\(^{1}\)-6y\(^{1}\)+4xy
09. MENSURATION
290132
Expenses of painting a wall from one side at the rate of 35 per square metre are Rs. 21000. If the breadth of the wall is two-third of its length, what is the perimeter?
290129
Mark \((\checkmark)\) against the correct answer in the following: If the ratio between the length and perimeter of a rectangular plot is 1 : 3, then the ratio between the length and breadth of the plot is:
1 1 : 2
2 2 : 1
3 3 : 2
4 2 : 3
Explanation:
2 : 1 Ratio in length and perimeter of a rectangle = 1 : 3 Let length = x, then perimeter = 3x \(\therefore\) Breadth \(=\frac{3\text{x}}{2}-\text{x}=\frac{\text{x}}{2}\) \(\therefore\) Ratio in length and breadth \(=\text{x}:\frac{\text{x}}{2}\) \(=2:1\)
09. MENSURATION
290302
The perimeter of a square is 144m, then the side of the square is ......
1 34m
2 36m
3 44m
4 38m
Explanation:
36m Perimeter of square = 4 × s = 144 Hence s = 144 ÷ 4 = 36m
09. MENSURATION
290130
In a garden, there are 10 rows and 12 columns of mango trees. the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. the length of the garden is:
1 20m
2 22m
3 24m
4 26m
Explanation:
24m Each row contains 12 plants. there are 11 gapes between the two corner trees (11 × 2) metres and 1 metre on each side is left. Length = (22 + 2)m = 24m
09. MENSURATION
290131
The two adjacent sides of a rectangle are 5x\(^{1}\) − 3y\(^{1}\) and x\(^{1}\) + 2xy. Find the perimeter:
1 12x\(^{1}\) + 5xy + 9y\(^{1}\)
2 12x\(^{1}\)- 6y\(_{\1}\)+ 4xy
3 7x\(^{1}\) - 3y\(^{1}\) + 4xy
4 8x\(^{1}\) - 8y\(^{1}\) + 3xy
Explanation:
12x\(^{1}\)- 6y\(_{\1}\)+ 4xy Given adjacent sides of a rectangle are 5x\(^{1}\) - 3y\(^{1}\)and x\(^{1}\)+ 2xy we know that the perimeter of a rectangle with adjacent sides a and b is 2 × (a + b) Perimeter = 2((5x\(^{1}\) - 3y\(^{1}\)) + (x\(^{1}\)+2xy)) = 2(6x\(^{1}\) -3y\(^{1}\)+ 2xy) = 12x\(^{1}\)- 6y\(^{1}\)+ 4xy = 12x\(^{1}\)- 6y\(^{1}\)+ 4xy \(\therefore\) Perimeter = 12x\(^{1}\)-6y\(^{1}\)+4xy
09. MENSURATION
290132
Expenses of painting a wall from one side at the rate of 35 per square metre are Rs. 21000. If the breadth of the wall is two-third of its length, what is the perimeter?
290129
Mark \((\checkmark)\) against the correct answer in the following: If the ratio between the length and perimeter of a rectangular plot is 1 : 3, then the ratio between the length and breadth of the plot is:
1 1 : 2
2 2 : 1
3 3 : 2
4 2 : 3
Explanation:
2 : 1 Ratio in length and perimeter of a rectangle = 1 : 3 Let length = x, then perimeter = 3x \(\therefore\) Breadth \(=\frac{3\text{x}}{2}-\text{x}=\frac{\text{x}}{2}\) \(\therefore\) Ratio in length and breadth \(=\text{x}:\frac{\text{x}}{2}\) \(=2:1\)
09. MENSURATION
290302
The perimeter of a square is 144m, then the side of the square is ......
1 34m
2 36m
3 44m
4 38m
Explanation:
36m Perimeter of square = 4 × s = 144 Hence s = 144 ÷ 4 = 36m
09. MENSURATION
290130
In a garden, there are 10 rows and 12 columns of mango trees. the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. the length of the garden is:
1 20m
2 22m
3 24m
4 26m
Explanation:
24m Each row contains 12 plants. there are 11 gapes between the two corner trees (11 × 2) metres and 1 metre on each side is left. Length = (22 + 2)m = 24m
09. MENSURATION
290131
The two adjacent sides of a rectangle are 5x\(^{1}\) − 3y\(^{1}\) and x\(^{1}\) + 2xy. Find the perimeter:
1 12x\(^{1}\) + 5xy + 9y\(^{1}\)
2 12x\(^{1}\)- 6y\(_{\1}\)+ 4xy
3 7x\(^{1}\) - 3y\(^{1}\) + 4xy
4 8x\(^{1}\) - 8y\(^{1}\) + 3xy
Explanation:
12x\(^{1}\)- 6y\(_{\1}\)+ 4xy Given adjacent sides of a rectangle are 5x\(^{1}\) - 3y\(^{1}\)and x\(^{1}\)+ 2xy we know that the perimeter of a rectangle with adjacent sides a and b is 2 × (a + b) Perimeter = 2((5x\(^{1}\) - 3y\(^{1}\)) + (x\(^{1}\)+2xy)) = 2(6x\(^{1}\) -3y\(^{1}\)+ 2xy) = 12x\(^{1}\)- 6y\(^{1}\)+ 4xy = 12x\(^{1}\)- 6y\(^{1}\)+ 4xy \(\therefore\) Perimeter = 12x\(^{1}\)-6y\(^{1}\)+4xy
09. MENSURATION
290132
Expenses of painting a wall from one side at the rate of 35 per square metre are Rs. 21000. If the breadth of the wall is two-third of its length, what is the perimeter?
290129
Mark \((\checkmark)\) against the correct answer in the following: If the ratio between the length and perimeter of a rectangular plot is 1 : 3, then the ratio between the length and breadth of the plot is:
1 1 : 2
2 2 : 1
3 3 : 2
4 2 : 3
Explanation:
2 : 1 Ratio in length and perimeter of a rectangle = 1 : 3 Let length = x, then perimeter = 3x \(\therefore\) Breadth \(=\frac{3\text{x}}{2}-\text{x}=\frac{\text{x}}{2}\) \(\therefore\) Ratio in length and breadth \(=\text{x}:\frac{\text{x}}{2}\) \(=2:1\)
09. MENSURATION
290302
The perimeter of a square is 144m, then the side of the square is ......
1 34m
2 36m
3 44m
4 38m
Explanation:
36m Perimeter of square = 4 × s = 144 Hence s = 144 ÷ 4 = 36m
09. MENSURATION
290130
In a garden, there are 10 rows and 12 columns of mango trees. the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. the length of the garden is:
1 20m
2 22m
3 24m
4 26m
Explanation:
24m Each row contains 12 plants. there are 11 gapes between the two corner trees (11 × 2) metres and 1 metre on each side is left. Length = (22 + 2)m = 24m
09. MENSURATION
290131
The two adjacent sides of a rectangle are 5x\(^{1}\) − 3y\(^{1}\) and x\(^{1}\) + 2xy. Find the perimeter:
1 12x\(^{1}\) + 5xy + 9y\(^{1}\)
2 12x\(^{1}\)- 6y\(_{\1}\)+ 4xy
3 7x\(^{1}\) - 3y\(^{1}\) + 4xy
4 8x\(^{1}\) - 8y\(^{1}\) + 3xy
Explanation:
12x\(^{1}\)- 6y\(_{\1}\)+ 4xy Given adjacent sides of a rectangle are 5x\(^{1}\) - 3y\(^{1}\)and x\(^{1}\)+ 2xy we know that the perimeter of a rectangle with adjacent sides a and b is 2 × (a + b) Perimeter = 2((5x\(^{1}\) - 3y\(^{1}\)) + (x\(^{1}\)+2xy)) = 2(6x\(^{1}\) -3y\(^{1}\)+ 2xy) = 12x\(^{1}\)- 6y\(^{1}\)+ 4xy = 12x\(^{1}\)- 6y\(^{1}\)+ 4xy \(\therefore\) Perimeter = 12x\(^{1}\)-6y\(^{1}\)+4xy
09. MENSURATION
290132
Expenses of painting a wall from one side at the rate of 35 per square metre are Rs. 21000. If the breadth of the wall is two-third of its length, what is the perimeter?
