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Chapter 11: Q23. (page 634)

A trapezoid has an area of 140 square centimetres and bases of 15 centimetres and 20 centimetres. What is the height of the trapezoid?

Short Answer

Expert verified

The height of the trapezoid is 8 centimeters.

Step by step solution

01

Step 1. Given Information.

Area of a trapezoid: 140 centimetres

Base of a trapezoid: 20 centimetres

02

Step 2. Formula used.

Area of a trapezoid=12b1+b2h, whereb1, b2 are the bases of the trapezoid andhis the height of the trapezoid.

03

Step 3. Calculation.

The height of the trapezoid can be calculated as:

Areaofatrapezoid=12b1+b2h         Formulafortheareaofatrapezoid140=1215+20hsubstitutethegivenvalues140=352hadd140×2=352h×2multiplybothsidesby228035=35h35dividebothsidesby35h=8simplify

04

Step 4. Conclusion.

The height of the trapezoid is 8 centimeters.

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Most popular questions from this chapter

In Exercises 21-23, use the box-and-whisker plot below.

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