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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.15 (page 550)

Find the area of the trapezoid.

Short Answer

Expert verified

The area of the trapezoid is ${18.36m}^{2}$ .

Step by step solution

01

Step 1. Given information.

The given 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.

$\begin{matrix} Area = \frac{1}{2} \times (3.2 + 7) \times 3.6 \\ = 10.2 \times 1.8 \\ = 18.36 m^{2} \end{matrix}$

04

Step 4. Conclusion.

Therefore, the required area is $18.36 m^{2}$ .

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Most popular questions from this chapter

Plot the points $A (6, 3), B (- 3, 9),$ and $C (- 3, - 3)$ in a coordinate plane. Connect the points to form a triangle. Use the distance formula to find the side lengths. Then classify the triangle by its side lengths.

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.

The height of trapezoid is 2 feet. One of the bases is three times the height, and the other base is four times the height. Find the area of the trapezoid.

Find the unknown base or height of the trapezoid.

$A = 12 {ft}^{2}, b_{1} = 2 ft, b_{2} = \underline{?}, h = 3 ft$

Solve the equation.

- 9 - 4 y = 19

See all solutions

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