Answer:
The answer in the attached figure
Step-by-step explanation:
step 1
Find the area of one blue square
step 2
Find the area of one orange triangle
![A=(1/2)8^{2}=32\ ft^{2}](https://tex.z-dn.net/?f=A%3D%281%2F2%298%5E%7B2%7D%3D32%5C%20ft%5E%7B2%7D)
Part 1) ![256\ ft^{2}](https://tex.z-dn.net/?f=256%5C%20ft%5E%7B2%7D)
Divide the total area by the area of one orange triangle
![256/32=8\ triangles](https://tex.z-dn.net/?f=256%2F32%3D8%5C%20triangles)
Part 2) ![180\ ft^{2}](https://tex.z-dn.net/?f=180%5C%20ft%5E%7B2%7D)
Divide the total area by the area of one blue square
![180/36=5\squares](https://tex.z-dn.net/?f=180%2F36%3D5%5Csquares)
Part 3) ![168\ ft^{2}](https://tex.z-dn.net/?f=168%5C%20ft%5E%7B2%7D)
Let
x----> the number of blue squares
y ------> the number of orange triangles
we know that
![36x+32y=168](https://tex.z-dn.net/?f=36x%2B32y%3D168)
Construct a table and prove different values for x and for y
we have
x=2, y=3
Two blue squares and three orange triangles
Area of blue squares
![A1=2*(36)=72\ ft^{2}](https://tex.z-dn.net/?f=A1%3D2%2A%2836%29%3D72%5C%20ft%5E%7B2%7D)
Area of an orange triangles
![A2=3*(32)=96\ ft^{2}](https://tex.z-dn.net/?f=A2%3D3%2A%2832%29%3D96%5C%20ft%5E%7B2%7D)
so
the area total is
![72+96=168\ ft^{2}](https://tex.z-dn.net/?f=72%2B96%3D168%5C%20ft%5E%7B2%7D)