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.
HINT: The area covered by stones equals the area of the wall minus the area of the windows.

• A. $\frac{191}{14}\text{sq ft}$
• B. $\frac{191}{41}\text{sq ft}$
• C. $\frac{20}{7}\text{sq ft}$
• D. $\frac{191}{20}\text{sq ft}$

Answer 1

The correct option is A $\frac{191}{14}\text{sq ft}$

Area of the castle wall $=\frac{231}{14}\text{sq ft}$
Given dimensions of the window:
Whiteboard
We have,
Area of four windows
$=4\times$ Area of one window
$=4\times [\frac{5}{3}\times \frac{3}{7}]\text{sq ft}$
Also,
Remaining area
$=\text{Area of the wall}-\text{Area of four windows}$
$=\frac{231}{14}-4\times [\frac{5}{3}\times \frac{3}{7}]$
$=\frac{231}{14}-\frac{20}{7}$
$=\frac{231-40}{14}$
$=\frac{191}{14}\text{sq ft}$
Hence, the area covered with stones on the wall is
$\frac{191}{14}$ square feet.