Question

The length of a rectangle is 2 cm more than its breadth. The perimeter is 48 cm. The area of the rectangle (in $c{m}^2$) is :

• A. 96
• B. 128
• C. 143
• D. 144

Answer 1

The correct option is C 143

Let breadth of the rectangle be 'b' cm.

So length of the rectangle will be 'b+2' cm.

Now

Perimeter $=48$

$2(l+b)=48$

$2(b+2+b)=48$

$2b+2=24$

$2b=22$

$b=11cm$

$l=b+2=13cm$

Then,

Area of the rectangle $=lb$

$=13\times 11$

$=143c{m}^2$