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A rock cracked the windshield of Harry's truck. To get an estimate of the replacement cost, he
needs to calculate the area of the windshield. The windshield is shaped like a trapezoid with a
height of 30 inches. The top of the windshield is 80 inches long, and the bottom is 70 inches
long.
Which equation can you use to find the area of the windshield, A?
A = = (80) (70 + 30)
A = (30)(80+ 70)
What is the area of the windshield?
Write your answer as a whole number or decimal. Do not round.
square inches



Answer :

Equation: A = ½ (80 inches + 70 inches)(30 inches)

Area: 2250 square inches

Step-by-step explanation:

Formula for Area of a Trapezoid: A = ½ (a + b) h

_____

a and b represent the bases of the trapezoid (or windshield in this context)

h represents the height of the trapezoid (or windshield in this context)

____

Given from the problem:

  • h = 30 inches
  • a = 80 inches (Does not matter which value is a or b because they will be added together)
  • b = 70 inches (Does not matter which value is a or b because they will be added together)

Substitute the values of h, a, and b into the formula to find your equation.

  1. A = ½ (a + b) h
  2. A = ½ (80 inches + 70 inches) (30 inches)
  3. A = ½ (150 inches)(30 inches)
  4. Multiply to get 2250 square inches

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