Question

Find the area of the irregular figure (use 3.14 for pi). Show your work. Round to the nearest tenth.

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Answer 1

A ≈ 13.7 ft²

Explanation:

the figure is composed of a triangle ( left ) and a semicircle (right )

the area of a triangle is calculated as

area =
`(1)/(2)` bh ( b is the base and h the perpendicular height )

here b = 3.6 and h = 4.8 , then

area =
`(1)/(2)` × 3.6 × 4.8 = 8.64 ft²

the area of a semicircle is half the area of a circle, that is

area =
`(1)/(2)` πr² ( r is the radius )

here diameter = 3.6 , then r = 3.6 ÷ 2 = 1.8

area =
`(1)/(2)` × 3.14 × 1.8²

= 0.5 × 3.14 × 3.24

≈ 5.1 ft² ( to the nearest tenth )

the total area (A) is then the sum of the 2 parts

A = 8.64 + 5.1

≈ 13.7 ft²