Question

A square of a side 4 cm is cut from a rectangle having a length of 20 cm and a width of 5 cm. What is the area of the remaining portion?

• A. $116c{m}^2$
• B. $86c{m}^2$
• C. $84c{m}^2$
• D. $96c{m}^2$

Answer 1

The correct option is C $84c{m}^2$

Given, the length of the rectangle = 20 cm, width = 5 cm
Area of the rectangle = length × width
$=20cm\times 5cm$
$=100c{m}^2$

Also, the side length of the square = 4 cm
Area of the square $=(\text{side}{)}^2$
$=(4cm{)}^2$
$=16c{m}^2$

The square is cut from the rectangle.

$\text{Hence, the area of the remaining portion}\text{= Area of the rectangle}-\text{Area of the square}$
$=100c{m}^2-16c{m}^2$
$=84c{m}^2$
Option (c.) is the correct option.