Question

Area of a square carpet is 1.44 sq ft. What is the length of each side of the carpet?

• A. 0.36 ft
• B. 1.2 ft
• C. 0.72 ft
• D. 12 ft

Answer 1

The correct option is B 1.2 ft

$\text{Detailed step-by-step solution:}$
Area of a square carpet is $1.44$ sq ft.
Formula to find the area of a square $=a^2$, where $a$ is the length of each side of the square.
Considering the above formula:
$a^2=1.44$
$\Rightarrow \sqrt{a^2}=\sqrt{1.44}$ (taking square root on both the sides)
$\Rightarrow a=\sqrt{\frac{144}{100}}=\frac{\sqrt{144}}{\sqrt{100}}$ (taking the square root of numerator and denominator individually)
$\Rightarrow a=\frac{2\times 2\times 3\times 2\times 2\times 3}{2\times 5\times 2\times 5}$
$\Rightarrow a=\frac{12\times 12}{10\times 10}=\frac{12}{10}(144$ can be written as $12\times 12$, and $100$ can be written as $10\times 10)$
$\Rightarrow a=1.2$ ft (solve for $a$)

So, option B is the correct answer.