Question

Two plots of land have same perimeter. One is a square of side 60m, while the other is a rectangle whose breadth is 1.5m dam.Which plot has the greater area and by how much?

Answer 1

s = 60 m

Perimeter of a square = 4s = 4*60 = 240 m

b = 1.5 m

Perimeter of a rectangle = 2 ( l + b ) = 2 ( l + 1.5 ) = ( 2l + 3 ) m

Perimeter of rect. = Perimeter of Sq.

2l + 3 = 240

2l = 240 - 3

2l = 237

l = 118.5

Area of sq. = $s^{2}$

= $60^{2}$

= 3600 $m^{2}$

Area of rect. = l * b

= 118.5 * 1.5

= 177.75 $m^{2}$

AREA OF SQUARE IS GREATER THAN AREA OF RECTANGLE !!

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