Question

A castle wall made up of stone has four windows with its dimensions as shown below:
Find the area covered with stones on the wall.

• A. 20/7 sq ft
• B. 191/20 sq ft
• C. 191/14 sq ft
• D. 151/7 sq ft

Answer 1

The correct option is C 191/14 sq ft

Area of castle wall = $\frac{231}{14}$ sq ft

Given dimensions of the window:

We have,
Area of four windows
= 4 × Area of one window
= 4 × [$\frac{5}{3}$ × $\frac{3}{7}$] sq ft

Also,
Remaining area
= Area of the wall - Area of four windows
= $\frac{231}{14}$ - 4 × [$\frac{5}{3}$ × $\frac{3}{7}$]
= $\frac{231}{14}$ - $\frac{20}{7}$
= $\frac{231-40}{14}$
= $\frac{191}{14}$ sq ft

Hence, the area covered with stones on the wall is $\frac{191}{14}$ sq ft.