= 32 metre ∴ Perimeter of square = 4×32=128 metre ∴ Perimeter of rectangle = 128 metre Breadth of rectangle = x metre (let) ∴Its length = (x + 14) metre ∴2(x+14+x)=128 => 2x+14=
128
2
=64 ⇒ 2x=64−14=50 ⇒x=
50
2
=25 metre ∴ Length = (25 + 14) metre = 39 metre ∴Area of rectangle = 39 × 25 = 975 sq. metre