Question

The length and perimeter of a rectangular plot of land are 20 feet and 60 feet respectively. If this plot of land is converted into a lawn, what area of the plot should be covered with grass?

• A. 200 sq ft
• B. 300 sq ft
• C. 250 sq ft
• D. 400 sq ft

Answer 1

The correct option is A 200 sq ft

Perimeter of the plot = 2(length of the plot + width of the plot)
60 = 2 (20 + width of the plot)
$60=2\times 20+2\times$ width of the plot
$60=40+2\times$ width of the plot
$60-40=2\times$ width of the plot
$20=2\times$ width of the plot
Width of the plot = $\frac{20}{2}=10ft$
Area of the plot to be covered with grass = total area of the land = length of the land $\times$ width of the land
$=20\times 10$
$=200\text{sq ft}$
Therefore, area of the land to be covered with grass $=200\text{sq ft}$