Question

In a village, the two plots having same perimeter. One is rectangle whose sides are 30m and 20m and the other plot is in the square dimensions. Which plot has larger area and by how much?

PLS ANSWER​

Answer 1

Length of the square = 64m.

Length of the rectangle = 70m.

Perimeter of the suare = 4*Side = 4* 64 = 256 m.

Let breadth of the rectangle = B.

Perimeter of the rectangle = 2(70 +B).

Now, According to question,

2*(70 + B) = 256

140 + 2B = 256

2B = 256 - 140

2B = 116

B = 58 m.

Area of the rectangle = 58 *70 = 4,060 sq m.

Area of the square = length * length = 64 *64 = 4096 sq.m.

Square has more area by 36 sq.m.