Question

Two plots of land have the same perimeter.One is a square of side 64 m and the other is a rectangle of length 70 m.Find the breadth of a rectangular plot.Which plot has greater area and by how much?

Answer 1

Perimeter of square plot: 64m x 4 = 256m

L + L + B + B = Perimeter, so 70 + 70 + B + B = 256m

2B = 256m - 140m = 116m

Breadth = 116m / 2 = 58m

The breadth of the rectangular plot is 58m.

Area of square plot = 64m x 64m = 4096 square metres.

Area of rectangular plot = 70m x 58m = 4060 square metres.

4096 square metres - 4060 square metres = 36 square metres.

The square plot has a bigger area by 36 square metres. ($36m^{2}$)

Answer 2

perimeter of square =4× side=4×64=256 cm
nowPeri.of Rect. =2(l+b)
a/q perimeter is same
then
2(70+b)=256
140+2b=256
2 b=256 -140
=116
b= 116/2=58 cm