Question

meter, whal
Two fields have the same perimeter. One is a square of side 72m and another is a rectangle
of length 80 m. Which field has the greater area and by how much?​

Answer 1

Question :- Two fields have the same perimeter. one is the square of side 72 meter and another is a rectangle of length 80 meter.which plot has the greater area and by how much?

Perimeter of each same as perimeter of square.

P = 4S where S = side.

P = 4S = 4(72) = 288 m.

Area of square = (◕ᴥ◕)

S x S = 72 m x 72 m=5184 sq m.

For rectangle P = 2L + 2W so P - 2L = 2W and W = $\frac{1}{2}$ (P-2L)

Width of rectangle = W = $\frac{1}{2}$(P-2L)... P is same as square= 288m and L=80 m (given)

W = $\frac{1}{2}$(288-2(80)) = $\frac{1}{2}$(128) = 64 m

Area of rectangle A = L x W = 80 m x 64 m= 5120 sq m

Area of square is larger by (5184 sq m - 5120 sq mm) = 64 sq m