A trapezoid has parallel bases of length 6 centimeters and 10 centimeters, and a height of… — SAT

A trapezoid has parallel bases of length $6$ centimeters and $10$ centimeters, and a height of $5$ centimeters. What is the area, in square centimeters, of the trapezoid?

Answer: 40 square centimeters

Answer

The area of the trapezoid is

40

square centimeters.

The area of a trapezoid is calculated using the formula

A = \frac{a + b}{2} h

, where

a

and

b

are the lengths of the parallel bases and

h

is the height. Substituting the given values

a = 6

b = 10

, and

h = 5

into the formula yields

A = \frac{6 + 10}{2} \times 5 = 8 \times 5 = 40

Step-by-Step Solution

Recall the area formula for a trapezoid.

A = \frac{a + b}{2}h

The area of a trapezoid is the average of its parallel bases multiplied by its height.

Substitute the base values of

6

and

10

, and the height value of

5

into the formula.

A = \frac{6 + 10}{2} \times 5

This sets up the calculation with the given measurements.

Simplify the expression to find the final area.

A = 40

Adding the bases gives

16

, dividing by

2

gives

8

, and multiplying by the height of

5

results in

40

Key Concept

Area of a Trapezoid

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