Answer:
Trenton needs 21 square feet of plywood to cover all the surface of the ramp.
Step-by-step explanation:
Givens
- Base is 2 feet long.
- Height is 1.5 feet long.
- Length is 3 feet long.
- The riding surface is 2.5 feet long.
Notice that the ramp is formed by two triangles and three rectangles.
Each triangle has a base of 2 feet and a height of 1.5 feet. So, the area of each triangle is
[tex]A_{triangle}=\frac{bh}{2}=\frac{2(1.5)}{2}=1.5ft^{2}[/tex]
The base of the ramp has dimensions of 3 feet x 2 feet. Its are is
[tex]A_{base}=3(2)=6ft^{2}[/tex]
The back of the ram has an area of
[tex]A_{back}=1.5(3)=4.5 ft^{2}[/tex]
The riding surface is
[tex]A_{riding}=3(2.5)= 7.5ft^{2}[/tex]
So, basically, to know the total surface, we just have to sum the are of both triangles, and the area of all three rectangles, as follows
[tex]S=1.5+1.5+6+4.5+7.5=21ft^{2}[/tex]
This means that Trenton needs 21 square feet of plywood to cover all the surface of the ramp.
