Question

The length of a rectangle is twice its width. If the perimeter of the rectangle is 84 m, then find the area of the rectangle.

• A. $384m^2$
• B. $392m^2$
• C. $292m^2$
• D. None of the above

Answer 1

The correct option is B $392m^2$

Let the width of rectangle be $xm$.
Then, length = $2xm$

Perimeter = $2\times (length+breadth)$
Perimeter = $2(x+2x)=84m$
$\Rightarrow 6x=84m$
On solving, we get
$x=14m$

Hence, width = $14m$
Length = $28m$

Area = length $\times$ breadth
= $28\times 14$
Area = $392m^2$