Answer:
The answer in the attached figure
Step-by-step explanation:
step 1
Find the area of one blue square
[tex]A=6^{2}=36\ ft^{2}[/tex]
step 2
Find the area of one orange triangle
[tex]A=(1/2)8^{2}=32\ ft^{2}[/tex]
Part 1) [tex]256\ ft^{2}[/tex]
Divide the total area by the area of one orange triangle
[tex]256/32=8\ triangles[/tex]
Part 2) [tex]180\ ft^{2}[/tex]
Divide the total area by the area of one blue square
[tex]180/36=5\squares[/tex]
Part 3) [tex]168\ ft^{2}[/tex]
Let
x----> the number of blue squares
y ------> the number of orange triangles
we know that
[tex]36x+32y=168[/tex]
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
[tex]A1=2*(36)=72\ ft^{2}[/tex]
Area of an orange triangles
[tex]A2=3*(32)=96\ ft^{2}[/tex]
so
the area total is
[tex]72+96=168\ ft^{2}[/tex]
