Question

8. The perimeter of the rectangle and square are
same. Lenght and breadth of the rectangle are
10 cm and 8 cm respectively. What is the area
of the square?
(a) 114 sq. cm. (b) 36 sq.cm
(c) 81 sq. cm
(d) 64 sq. cm​

Answer 1

Length of Rectangle=10cm

Breadth of a Rectangle=8cm

{Perimeter of Rectangle=2(l+b)}

$\implies$2(10+8)

$\implies$2(18)

$\implies$36cm

$\therefore$ Perimeter of Rectangle=36cm

According to the problem

Perimeter of Square×Perimeter of Rectangle

Let side of square be 's'

$\implies$AS=36cm

$\implies$S=$\frac{36}{4}$

$\implies$S=9cm

Side=9cm

Now,

Area of the Square=S²=9²=81cm²

$\colorbox{lime}{Option\;B}$

$\implies$81cm²