Question

Find the area of a rectangle if its perimeter is 32 in and width is 1 in.

• A. 16 sq in
• B. 8 sq in
• C. 14 sq in
• D. 15 sq in

Answer 1

The correct option is D 15 sq in

We know:
$Perimeter=2(Length+Width)$

$Perimeter=32in$
$Width=1in$

$\Rightarrow 32=2(l+1)$
$\Rightarrow 32=2l+2$
$\Rightarrow 2l=32-2$

$\Rightarrow l=\frac{30}{2}$

$\Rightarrow l=15$ in

$Areaofarectangle=Length\times Width$
$\Rightarrow Area=15\times 1=15sqin$