Step 1
Find the area of the Rectangle in the middle
To find the area, you have to do [tex]Length*Width[/tex]
[tex]9.5*5.8=55.1[/tex]
The area of the Rectangle in the middle is 55.1m²
Step 2
Find the area of the triangle on the right
To find the area of 1 triangle, we have to use the formula show below:
[tex]A=\frac{1}{2}* Base *Height[/tex]
Base = the part on the bottom
Height = How high the triangle is
[tex]A=\frac{1}{2} *5.1*5.8\\=\frac{1}{2} *29.58\\=14.79[/tex]
The area of the triangle on the right is 14.79m²
Step 3
Find the area of the triangle on the left
Using the formula that we used in the last question about finding the area of the triangle, we can find our answer, here is the formula:
[tex]A=\frac{1}{2}* Base *Height[/tex]
Base = the part on the bottom
Height = How high the triangle is
BUT, before finding the area of this part of the triangle, we have to first find the dimensions, we know the height, but we don't know the base, so to find the base, we will subtract 18 by 9.5 to get our base
[tex]18-9.5=8.5[/tex]
So the base of the triangle on the LEFT is 8.5m
NOW, we can find the area of the triangle on the left
[tex]A =\frac{1}{2}* 8.5*5.8\\=\frac{1}{2} *49.3\\=24.65[/tex]
So the area of the triangle on the LEFT is 24.65m²
Step 4
Add up all the areas to get final answer!
The areas of the 3 shapes are...
55.1m²
14.79m²
24.65m²
If we add these numbers up, we get 94.54m²
The area of the trapezoid is 94.54m²
