Mensuration (Class - VI)

This is the correct answer. The total cost of fencing is Rs. 7200. The rate of fencing is Rs. 12/m.

Perimeter x rate of fencing = total cost
Perimeter = total cost/rate = 7200/12 = 600 m
Length = 175 
Breadth = ?
Perimeter = 600
P = 2(L + B)
600 = 2(175 + b) = 350 + 2b
600 - 350 = 2b
250 = 2b
b = 250/2 = 125 m

This is the correct answer.
Let the length be 5x.
And let the breadth be 4x.
Perimeter = 2(L + B)
72 = 2(5x + 4x)
9x = 36
x = 36/9
x = 4
Therefore, length = 5 x 4 = 20 cm
Breadth = 4 x 4 = 16 cm

This is the correct answer.
Area of one square of side 1 cm = 1 cm²
So, area of n squares = n x 1 cm² = n cm²

For a marble tile, L = 25 cm, B = 20 cm Area = 25 x 20 = 500 cm² Number of tiles = Area of the wall/Area of a tile = 120000/500 = 240

This is the correct answer.
Area of square = Side x Side
256 = Side x Side
Factors of 256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Side x Side = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Side = 2 x 2 x 2 x 2 = 16 cm

This is the correct answer.
Side of the square field = 32 cm
Perimeter of the field = 4 x 32 = 128 cm
He takes three rounds, so total distance covered = 128 X 3 = 384 cm

This is the correct answer. A hexagon has 6 sides.
Perimeter = 6 x side = 6 x 8 = 48 cm

This is the correct answer. An isosceles triangle has two sides equal.
Perimeter of the triangle = 2x + 12
32 = 2x + 32
2x = 32 - 12 = 20
x = 20/2 = 10 cm
Other side = 10 cm

This is the correct answer. If the length and breadth of a rectangle are doubled, then
Area = 2l X 2b = 4lb

This is the correct answer.
Total cost of flooring = Rs. 1700
Rate of flooring = Rs. 8.50 per m²
Area of the floor = Total cost/Rate per square metre = 1700/8.50 = 200 m²
Breadth of the room = Area/Length = 200/16 = 12.5 cm

This is the correct answer.
Length of the rectangle = Area/Breadth = 340/17 = 20 cm
Perimeter = 2(l + b) = 2(17 + 20) = 2 x 37 = 74 cm

This is the correct answer.
Let the side of square 1 be s₁ and that of square 2 be s₂.
So, the ratio of their areas is (s₁)² : (s₂)² = 225 : 256
(s₁)² : (s₂)² = (15)² : (16)²
So, s₁ = 15, s₂ = 16
So, the ratio is 15 : 16.
The ratio of their perimeters is 4 x 15 : 4 x 16 = 60 : 64 = 15 : 16.

This is the correct answer.
Length of the rectangle, l = 1 m = 100 cm
P = 2(l + b)
l = P/2 - b = (360/2) - 100 = 180 - 100 = 80 cm

This is the correct answer. A pentagon has 5 sides.
Side = perimeter/5 = 120/5 = 24 cm

This is the correct answer.
Perimeter = 4 x side = 4 X 22.5 = 90 cm

This is the correct answer. The length of the wooden frame is the perimeter of the picture.
L = 30 cm, B = 20 cm
Perimeter = 2(L + B) = 2(30 + 20) = 2 X 50 = 100 cm
The length of the wooden frame is 100 cm.

This is the correct answer.
If the side of the square is tripled, new side = 3x
Area = (3x) X 3x = 9x²
The area will be increased 9 times.

This is the correct answer.
Area of the square plot = 2.5 x 2.5 = 6.25 m²
Cost of levelling = Area x rate per metre = 6.25 x 2 = Rs. 12.5