Question

In the rectangle ABCE given below, ED = 4 cm, DC = 2 cm and BC = 5 cm. What is the area of the shaded region?

• A. $15{\text{cm}}^2$
• B. $20{\text{cm}}^2$
• C. $10{\text{cm}}^2$
• D. $30{\text{cm}}^2$

Answer 1

The correct option is A $15{\text{cm}}^2$

Area of the shaded region= Area of $△ADB$
Height of $△\text{ADB}=\text{BC}$ = 5 cm
EC = ED + DC = (4 + 2) cm = 6 cm
Base of $△\text{ADB}$= $\text{AB}=\text{EC}$ = 6 cm.
$\text{Area of}△\text{ADB}=\frac{1}{2}\times \text{base}\times \text{height}$
$=\frac{1}{2}\times 6\times 5$
$={\text{15 cm}}^2$