Question

In a square plot of side length $xft,12\%$ of the area is reserved for building a cottage. Which of the following expressions represents the remaining area (in square feet)?

• A. $0.12x\text{sq ft}$
• B. $0.88x^2\text{sq ft}$
• C. $0.12x^2\text{sq ft}$
• D. $0.88x\text{sq ft}$

Answer 1

The correct option is B $0.88x^2\text{sq ft}$

Side length of the square plot$\text{=}x\text{ft}$

First, let’s find the total area of the plot.
Area of the square plot $=x^2\text{sq ft}$

12% of this area is reserved for building a cottage.
Area of the cottage must be $=\frac{12}{100}\times x^2=0.12x^2\text{sq ft}$

Therefore, area remaining = total area - area of the cottage
$=x^2-0.12x^2$
$=0.88x^2\text{sq ft}$