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.

A140 ft2
B160 ft2
C180 ft2
D200 ft2

Verified Answer :

A=(a+b)×h÷2
=(16+24)×10÷2
= 200 ft2

Answer:

Option D is the correct answer.

Step-by-step explanation:

Refer the figure given below

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

\(\texttt{Area of isosceles trapezoid =}\frac{1}{2}\times \frac{1}{2}\times (b-a)\times h+\frac{1}{2}\times \frac{1}{2}\times (b-a)\times h+ah\\\\\texttt{Area of isosceles trapezoid =}\frac{1}{2}\times (b-a)\times h+ah\)

We have

          a = 16, b = 24 and h = 10

Substituting

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

Option D is the correct answer.

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