The figure is the combination of trapezoid and square. Then the area of the figure will be 39 square meters.
The complete question is attached below.
<h3>What is Geometry?</h3>
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The figure is the combination of trapezoid and square.
Then the area of the geometry will be
Area = Area of trapezoid + Area of square
Area = 1/2 x (3 + 9) x 5 + 3 x 3
Area = 30 + 9
Area = 39 square meters
More about the geometry link is given below.
brainly.com/question/7558603
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Answer:
![\large\boxed{y=-\dfrac{2}{3}x-\dfrac{13}{3}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7By%3D-%5Cdfrac%7B2%7D%7B3%7Dx-%5Cdfrac%7B13%7D%7B3%7D%7D)
Step-by-step explanation:
The slope-intercept form of an equation of a line:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m - slope
b - y-intercept
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
From the graph we have two points (-5, -1) and (-2, -3).
<em>Look at the picture</em>.
Calculate the slope:
![m=\dfrac{-3-(-1)}{-2-(-5)}=\dfrac{-2}{3}=-\dfrac{2}{3}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-3-%28-1%29%7D%7B-2-%28-5%29%7D%3D%5Cdfrac%7B-2%7D%7B3%7D%3D-%5Cdfrac%7B2%7D%7B3%7D)
Put it to the equation in slope-intercept form:
![y=-\dfrac{2}{3}x+b](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B2%7D%7B3%7Dx%2Bb)
We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate <em>b</em>:
![-1=-\dfrac{2}{3}(-5)+b](https://tex.z-dn.net/?f=-1%3D-%5Cdfrac%7B2%7D%7B3%7D%28-5%29%2Bb)
<em>subtract 10/3 from both sides</em>
![-\dfrac{3}{3}-\dfrac{10}{3}=b\to b=-\dfrac{13}{3}](https://tex.z-dn.net/?f=-%5Cdfrac%7B3%7D%7B3%7D-%5Cdfrac%7B10%7D%7B3%7D%3Db%5Cto%20b%3D-%5Cdfrac%7B13%7D%7B3%7D)
Finally:
![y=-\dfrac{2}{3}x-\dfrac{13}{3}](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B2%7D%7B3%7Dx-%5Cdfrac%7B13%7D%7B3%7D)
The answer is 91 and the property used is the Identity Property of Addition.