Chapter 10: Q.9 (page 550)

Find the unknown base or height of the trapezoid.
$A = 240 m^{2}, b_{1} = 16 m, b_{2} = 8 m, h = \underline{?}$

Short Answer

Expert verified

The required height is 20 m.

Step by step solution

Step 1. Given information.

Area of Trapezoid is $240 m^{2}$ , the unknown bases are 16 m and 8 m.

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.

$\begin{matrix} 240 = \frac{1}{2} \times (16 + 8) \times h \\ 240 = \frac{1}{2} \times 24 \times h \\ 240 = 12 \times h \\ h = \frac{240}{12} \\ = 20 \end{matrix}$

Step 4. Conclusion.

Therefore, the required height is 20 m.

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Find the unknown base or height of the trapezoid.
$A = 240 m^{2}, b_{1} = 16 m, b_{2} = 8 m, h = \underline{?}$

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=240m2,b1=16m,b2=8m,h=?¯

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

Probability and Statistics

Decision Maths

Statistics

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Geometry

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find the unknown base or height of the trapezoid.
$A = 240 m^{2}, b_{1} = 16 m, b_{2} = 8 m, h = \underline{?}$