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Chapter 10: Q.4 (page 549)

One base of a trapezoid is 9 feet, and the height is 4 feet. The area of the trapezoid is 28 square feet. Find the other base.

Short Answer

Expert verified

The value of the other base is 5 feet.

Step by step solution

01

Step 1. Given Information.

The base of trapezoid is 9 feet, the height is 4 feet, and the area is 28 square feet.

02

Step 2. Formula used.

The formula of area of ttrapezoid is defined as,

Area=12×Sum of parallel sides×Height

03

Step 3. Calculation.

Let’s, x is missing base.

So, the parallel sides are x feet, 9 feet and height is of 4 feet.

Substitute all the values in the formula.

Area=12×88+62×4028=12×x+9×414=x+9x=14−9=5feet

The missing base is 5 feet.

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