Question

The area of square $B$ is $25$% greater than the area of square $A$. If the area of square $B$ is $80$ square inches, find the perimeter of square $A$.

• A. $8$
• B. $12$
• C. $16$
• D. $32$
• E. $64$

Answer 1

Answer: (D)

$32$

Let $x$ is the area of $A$.
As given, the area of square $B$ is $25\%$ greater than the area of square $A$ and the area of square $B$ is $80$.
So, the desired equation: Area of square $B$ $=x+0.25x$
$\Rightarrow 80=x+0.25x$
$\Rightarrow 1.25x=80,x=64$
The area of square $A$ $=64$
Length($l$) of the sides of square $=\sqrt{A}=\sqrt{6}4=8$
Therefore,The perimeter of the square $=4\times l=4\times 8=32$
Hence, option D is correct.