Question

What is the answer to this math question?

Answer 1

its 22.5 because i did a sguare then divivded it by 2 then i added the rectangle

Answer 2

The answer is option 3.

Explanation:

First we have to find the area of both rectangle and triangle :

Rectangle,

`area = base * height`

Let base = 9,

Let height = 3,

`area = 9 * 3 \\ area = 27 \: {m}^(2)`

Triangle,

`area = (1)/(2) * base * height`

Let base = 3,

Let height = 3,

`area = (1)/(2) * 3 * 3 \\ area = (1)/(2) * 9 \\ area = (9)/(2) \\ area = 4.5 \: {m}^(2)`

Lastly, in order to find the shaded region you have to substract the area of triangle from the area of rectangle :

`area = 27 - 4.5 \\ area = 22.5 \: {m}^(2)`