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Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset Vaia Explanations$ Math

Common Core Edition · 183 pages

ISBN: 9780547587776

Chapter 10: Q.14 (page 550)

Find the area of the trapezoid.

Short Answer

Expert verified

The area of the trapezoid is ${192 ft}^{2}$ .

Step by step solution

01

Step 1. Given information.

The figure is given below as,

02

Step 2. Formula used.

The formula of area of trapezoid is defined as,

$Area = \frac{1}{2} \times (Sum of parallel sides) \times Height$

03

Step 3. Calculation.

Substitute the given values in the formula to find the remaining base.

$\begin{matrix} Area = \frac{1}{2} \times (18 + 14) \times 12 \\ = \frac{1}{2} \times 32 \times 12 \\ = 192 {ft}^{2} \end{matrix}$

04

Step 4. Conclusion.

Therefore, the required area is $192 {ft}^{2}$ .

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Most popular questions from this chapter

The ratio of the angle of a triangle is $2 : 3 : 7$ . Find the angle measures. Then classify the triangle by its angle measures.

Solve the proportion.

$\frac{90}{15} = \frac{t}{34}$

Find the value of x. Then classify the triangle by its angle measures.

Tell whether the figure is a polygon. If it is a polygon, classify it and tell whether it is a convex or concave. If not, explain why.

Find the value of x. Then classify the triangle by its angle measures.

See all solutions

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