In the figure above, |CD| is the base of the triangle CDE. Find the area of the figure to the nearest whole number.

In the figure above, |CD| is the base of the triangle CDE. Find the area of the figure to the nearest whole number.

A.

56 cm\(^2\)

B.

24 cm\(^2\)

C.

42 cm\(^2\)

D.

34 cm\(^2\)

Correct answer is D

Area of rectangle ABCD = length x breadth

= 7 x 4 

= 28 cm\(^2\)

Area of triangle CDE = \(\frac{1}{2}\) base x height

= \(\frac{1}{2} \times 3 \times 4\)

= 6 cm\(^2\)

Area of the figure = 28 cm\(^2\) + 6 cm\(^2\)

= 34 cm\(^2\)