Question

Alex wants to paint one side of his skateboard ramp with glow-in-the-dark paint, but he needs to know how much area he is painting. Calculate the area of the isosceles trapezoid.

Isosceles trapezoid with top base 16 feet, bottom base of 24 feet, and height of 10 feet.
A. 140 ft2
B. 160 ft2
C. 180 ft2
D. 200 ft2

Answer 1

A=(a+b)×h÷2
=(16+24)×10÷2
= 200 ft2

Answer 2

Option D is the correct answer.

Explanation:

Refer the figure given below

Area of isosceles trapezoid = Area of 2 triangles + Area of rectangle.

`\texttt{Area of isosceles trapezoid =}(1)/(2)* (1)/(2)* (b-a)* h+(1)/(2)* (1)/(2)* (b-a)* h+ah\\\\\texttt{Area of isosceles trapezoid =}(1)/(2)* (b-a)* h+ah`

We have

a = 16, b = 24 and h = 10

Substituting

`\texttt{Area of isosceles trapezoid =}(1)/(2)* (24-16)* 10+16* 10=200feet^2`

Option D is the correct answer.