Question

Jay wants to make a bike ramp a draw the following sketch what is the surface area of the ramp

Answer 1

We find the surface area of the figure by dividing the figure into smaller ones. This is:

Area 1, rectangle:

$A=\text{length}\times width=2.2\times1.6=3.52$

Area 2, triangle:

$A=\frac{base\times height}{2}=\frac{2\times0.9}{2}=0.9$

Area 3, rectangle:

$A=1.6\times0.9=1.44$

Area 4, triangle:

$A=\frac{2\times0.9}{2}=0.9$

Area 5, rectangle:

$A=2\times1.6=3.2$

Therefore, the surface area of the ramp is:

$A=A1+A2+A3+A4+A5$

Substitute the corresponding values:

$A=3.52+0.9+1.44+0.9+3.2=9.96$

Answer: 9.96 m^2