Question

Can you help me solve this please.

Answer 1

23

Explanation:

First, divide the figure into a large rectangle (2 * 5), a small rectangle (3 * 2), and a quarter circle with a radius of 3. Adding the areas of the 3 shapes together we get 10 + 6 + 7 = 23.

[LARGE RECTANGLE]

A = w * l = 2 * 5 = 10 (
`units^(2)`)

[SMALLER TRIANGLE]

A = w * l = 3 * 2 = 6 (
`units^(2)`)

[QUARTER CIRCLE]

A *
`(1)/(4)` = πr² *
`(1)/(4)` = 3 * 3 * π *
`(1)/(4)` = 7 (
`units^(2)`)