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Chapter 10: Q.17 (page 551)

The base of a parallelogram is 10 meters. The height is one fourth of the base. Find the area of the parallelogram.

Short Answer

Expert verified

The area of the parallelogram is25meters2.

Step by step solution

01

Step 1. Given information.

The base is 10 meters and height is one fourth of the given base.

02

Step 2. Formula used.

The formula of area of parallelogram is defined as,

Area=Base×Height

03

Step 3. Calculation.

First, find the height of the parallelogram.

height=Base4=104=52meters

Substitute the values in the area formula.

Area=Base×Height=10×52=25meters2

04

Step 4. Conclusion.

Therefore, the area height is25meters2.

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Most popular questions from this chapter

Find the value of x. Then classify the triangle by its angle measures.

Find the area of the parallelogram.

Solve the proportion.

37=31z

The Allen-Bradley Clock Tower in Milwaukee, Wisconsin, has four faces. Each face is regular octagon. The perimeter of one octagonal face is approximately 133 feet.

  1. Find the length of one side of one of the octagonal faces.
  2. Your friend says that you can find the area of one of the clocks by dividing one of the octagons into 8 congruent triangles. Sketch a regular octagon and show how to divide it into 8 congruent triangles.
  3. What additional information would you need in part (b) to find the area of the clock face? Assume that you had this information. What would your next steps be?

Find the value of x. Then classify the triangle by its angle measures.
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