Question

A garden is in a shape as shown below. Which of the following gives the area of the garden?

• A. 149 sq m
• B. 80 sq ft
• C. 120 sq ft
• D. 170 sq ft

Answer 1

The correct option is A 149 sq m

The given figure is


It consists of a rectangle ,a triangle and a parallelogram.

Area of rectangle = base $\times$ width

Base of the rectangle = 8 m

Width of the rectangle = 6 m

Area = 8 $\times$ 6 = 48 sq m

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

Base of triangle = 7 m

Height of triangle = 6 m

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

= $\frac{1}{2}$ $\times$ 7 $\times$ 6 = 21 sq m

Area of parallelogram = base $\times$ width

Base of parallelogram = 8 m

Height of parallelogram = 10 m

Area = 8 $\times$ 10 = 80 sq m

Total area = 48 + 21 + 80 = 149 sq m

Hence, the total area of the garden = 149 sq m