Question

The area of a rectangle is 14.295 sq ft. Find the length of the rectangle if its width is 1.5 ft.

• A. 95.3 ft
• B. 5.93 ft
• C. 9.53 ft
• D. 3.95 ft

Answer 1

The correct option is C 9.53 ft

Given:
Area of the rectangle = 14.295 sq ft
Width of the rectangle = 1.5 ft

We know:
$\text{Area of a rectangle}=\text{Length}\times \text{Width}$

Substituting the values of the length and area in the formula, we get:

$14.295=\text{Length}\times 1.5$

$⟹\text{Length}=\frac{14.295}{1.5}$

To remove the decimal point in the divisor, we multiply both the numerator and the denominator by 10.

$\therefore \text{Length}=\frac{14.295\times 10}{1.5\times 10}=\frac{142.95}{15}$

We first perform the long division by ignoring the decimal point.


142.95 has 2 decimal places and 15 has no decimal places. So, the quotient should have a total of 2 decimal places.

Shifting the decimal point in 953.0 two places to the left, we get:

$9\underset{–}{53}.0\to 9.53$

$\therefore \text{Length}=\frac{142.95}{15}=9.53\text{ft}$

Hence, the length of the rectangle is 9.53 ft.