Question

What is the answer to this math question?

Answer 1

Answer:

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

Answer 2

Answer:

The answer is option 3.

Step-by-step explanation:

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

Rectangle,

$area = base \times height$

Let base = 9,

Let height = 3,

$area = 9 \times 3 \\ area = 27 \: {m}^{2}$

Triangle,

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

Let base = 3,

Let height = 3,

$area = \frac{1}{2} \times 3 \times 3 \\ area = \frac{1}{2} \times 9 \\ area = \frac{9}{2} \\ area = 4.5 \: {m}^{2}$

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

$area = 27 - 4.5 \\ area = 22.5 \: {m}^{2}$