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Chapter 10: Q.18 (page 551)

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.

Short Answer

Expert verified

The area of the trapezoid is14feet2.

Step by step solution

01

Step 1. Given information.

The height is 2 feet and one bases is three times to height, and other base is four times to height.

02

Step 2. Formula used.

The formula of area of trapezoid is defined as,

Area=12脳Sum of parallel sides脳Height

03

Step 3. Calculation.

Find the both base by using height.

b1=3脳height=32=6feet

And,

b2=4脳height=42=8feet

Substitute the values in the area formula.

Area=126+8脳2=12脳14脳2=14feet2

04

Step 4. Conclusion.

Therefore, the required area is14feet2.

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Most popular questions from this chapter

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. Using this theorem, determine if the given side lengths for a triangle. Explain your reasoning.

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