Question

The length of a rectangle is twice its width. If the perimeter of the rectangle is 42 m, then find the area of the rectangle.

• A. $98m^2$
• B. $224m^2$
• C. $63m^2$
• D. $108m^2$

Answer 1

The correct option is A $98m^2$

Let the breadth of rectangle be x m.
Length = 2x m

Perimeter = 2 (length + breadth)
Perimeter = 2(x + 2x) = 42 m
$\Rightarrow$ 6x=42 m
$\Rightarrow$ 3x = 21 m
On solving, we get
x = 7 m

Breadth = 7 m
Length = 14 m

Area = length $\times$ breadth
= $14\times 7$
Area = $98m^2$