Question

The area of a square and a rectangle are equal. The side of square is $12$cm and the length of rectangle is $16$cm. The perimeter of the rectangle is __________.

• A. $25$cm
• B. $50$cm
• C. $75$cm
• D. $144$cm

Answer 1

Answer: (B)

$50$cm

Given:

Side of Square $=12cm$

$\therefore$ Area of square $=12\times 12$

$=144c{m}^2$

Now,

let the breadth of rectangle be $x$

$\therefore$ Area of rectangle $=Length\times breadth$

$=16\times x$

According to question,

Both the areas are equal. So,

$⟹16x=144$

$⟹x=\frac{144}{16}=9cm$

$\therefore breadth\left(x\right)=9cm$

Now ,

Perimeter of rectangle $=2(Length+breadth)$

$=2(16+9)$

$=50cm$