MATH SOLVE

3 months ago

Q:
# Find the surface area and show work

Accepted Solution

A:

Answer: [tex]1,270in^2[/tex]Step-by-step explanation: The surface area of a rectangle can be calculated with: [tex]Area_{rectangle}=lenght*width[/tex] The surface area of a trapezoid can be calculated with: [tex]Area_{trapezoid}=\frac{height}{2}(Larger\ base+Smaller\ base)[/tex] Calculate the area of the base, wich is a rectangle: [tex]A_{1}=(34in)(15in)=510in^2[/tex] There are two equal rectangles, therefore, multiply the area of any of them by 2: [tex]A_{2}=2(15in)(13in)=390in^2[/tex] Calculate the area of the other rectangle: [tex]A_{3}=(15in)(10in)=150in^2[/tex] There are two equal trapezoids, therefore, multiply the area of any of them by 2: [tex]A_4=\frac{2(5in)}{2}(34in+10in)=220in^2[/tex] Therefore, the surface area will be the sum of all the areas calculated: [tex]SA=A_1+A_2+A_3+A_4\\\\SA=510in^2+390in^2+150in^2+220in^2\\\\SA=1,270in^2[/tex]