Question

Find the surface area and show work

Answer 1

Answer: $1,270in^2$

Step-by-step explanation:

The surface area of a rectangle can be calculated with:

$Area_{rectangle}=lenght*width$

The surface area of a trapezoid can be calculated with:

$Area_{trapezoid}=\frac{height}{2}(Larger\ base+Smaller\ base)$

Calculate the area of the base, wich is a rectangle:

$A_{1}=(34in)(15in)=510in^2$

There are two equal rectangles, therefore, multiply the area of any of them by 2:

$A_{2}=2(15in)(13in)=390in^2$

Calculate the area of the other rectangle:

$A_{3}=(15in)(10in)=150in^2$

There are two equal trapezoids, therefore, multiply the area of any of them by 2:

$A_4=\frac{2(5in)}{2}(34in+10in)=220in^2$

Therefore, the surface area will be the sum of all the areas calculated:

$SA=A_1+A_2+A_3+A_4\\\\SA=510in^2+390in^2+150in^2+220in^2\\\\SA=1,270in^2$