Question

Find the unshaded area of the given figure.

• A. $111c{m}^2$
• B. $100c{m}^2$
• C. $183c{m}^2$
• D. $294c{m}^2$

Answer 1

The correct option is C $183c{m}^2$

We have, $AB=24.5cm,BC=12cm$
$\therefore$ Area of rectangle $ABCD$
$=24.5\times 12=294c{m}^2$
Now, $GH=[24.5-(3+3\left)\right]cm$
$=(24.5-6)cm=18.5cm$
$GF=[12-(3+3\left)\right]cm=(12-6)cm=6cm$
$\therefore$ Area of rectangle $EFGH$
$=18.5\times 6=111c{m}^2$
So, unshaded area $=294-111=183c{m}^2$.