Question

Find the area of the rectangle if its perimeter is 48 cm and its breadth is 6 cm.

• A. 110 cm²
• B. 120 cm²
• C. 108 cm²
• D. 100 cm²

Answer 1

The correct option is C

108 cm²

P = 2 (l + b)

Here, P = 48 cm; b = 6 cm

Therefore, 48 = 2 (l + 6)

$\Rightarrow$$\frac{48}{2}$ = l + 6

$\Rightarrow$ 24 = l + 6

$\Rightarrow$ 24 - 6 = l

$\Rightarrow$ 18 = l

Therefore, length = 18 cm

Now, area of rectangle = l $\times$ b = 18 $\times$ 6 cm${}^2$= 108 cm${}^2$.