Question

Area of the following shape is:

• A. $50c{m}^2$
• B. $54c{m}^2$
• C. $60c{m}^2$
• D. $64c{m}^2$

Answer 1

The correct option is B

$54c{m}^2$

Area ABCDEFGH
=Area (ABEF) +Area (FGH) +Area (CDE)…..(1)
$FH=\sqrt{F{G}^2-G{H}^2}=\sqrt{25-16}=3cmCE=\sqrt{D{E}^2-C{D}^2}=\sqrt{25-16}=3cm$
From (1)
Area ABCDEFGH $=(6\times 7)+\frac{1}{2}\times 4\times 3+\frac{1}{2}\times 4\times 3$
$=42+6+6=54c{m}^2$