Question

The length of a rectangle is greater than the length of side of a square by 10 cm and its breadth is less by 6 cm than the side of the square. What is the perimeter of the rectangle if the areas of the square and the rectangle are equal?

• A. 34 cm
• B. 68 cm
• C. 60 cm
• D. 90 cm

Answer 1

The correct option is B

68 cm

$\begin{array}{c}{a}^2=l\times b=\left(a+10\right)\left(a-6\right)\Rightarrow a^2=a^2+4a-60\Rightarrow a=15\\ Perimeter=2\left[a+10+a-6\right]=2\left[2a+4\right]=68\end{array}$