Question

The area for backyard sale in a house is in the form, as given below. Which of the following gives the area for backyard sale?

• A. 80 sq m
• B. 60 sq m
• C. 66 sq m
• D. 72 sq m

Answer 1

The correct option is C 66 sq m

The given figure is composed of one triangle and one parallelogram.

Area of the composite figure = Area of triangle + area of parallelogram.

The base of the parallelogram = 10 m

Height of the parallelogram = 6 m

Area of parallelogram = base $\times$ height

= 10$\times$ 6 = 60 sq m

Area of triangle = $\frac{1}{2}$ $\times$ base $\times$ height

Base of triangle = 2m

Height of triangle = 6m

= $\frac{1}{2}$ $\times$ 2 $\times$ 6 = 6 sq m

Hence, area of the composite figure = 60 + 6 = 66 sq m.