Chapter 10: Q.8 (page 550)

Find the unknown base or height of the trapezoid.
$A = 12 {ft}^{2}, b_{1} = 2 ft, b_{2} = \underline{?}, h = 3 ft$

Short Answer

Expert verified

The unknown base is 6 ft.

Step by step solution

Step 1. Given information.

Area of Trapezoid is $12 {ft}^{2}$ , the unknown base and height is 2 ft. and 3 ft.

Step 2. Formula used.

The formula of area of trapezoid is defined as,

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

Step 3. Calculation.

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

$\begin{matrix} 12 = \frac{1}{2} \times (2 + b_{2}) \times 3 \\ 4 = \frac{1}{2} \times (2 + b_{2}) \\ 2 + b_{2} = 8 \\ b_{2} = 8 - 2 \\ = 6 \end{matrix}$

Step 4. Conclusion.

Therefore, the required base is 6 ft.

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Find the unknown base or height of the trapezoid.
$A = 12 {ft}^{2}, b_{1} = 2 ft, b_{2} = \underline{?}, h = 3 ft$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Formula used.

Step 3. Calculation.

Step 4. Conclusion.

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Find the unknown base or height of the trapezoid.A=12ft2,b1=2ft,b2=?¯,h=3ft

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Formula used.

Step 3. Calculation.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Theoretical and Mathematical Physics

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Statistics

Study anywhere. Anytime. Across all devices.

Find the unknown base or height of the trapezoid.
$A = 12 {ft}^{2}, b_{1} = 2 ft, b_{2} = \underline{?}, h = 3 ft$