Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
Find the Area of the figure below,
composed of a parallelogram and two
semicircles. Round to the nearest tenths
place.
32
16
11
Answer:
Transcribed Image Text:Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place. 32 16 11 Answer:
Expert Solution
Step 1

One side of the parallelogram measures 32.

Height of the parallelogram is 11.

Then the area of the parallelogram is:

=32×11=352

The other side of the parallelogram becomes the diameter of the semicircles.

The diameter of the semicircle measures 16.

So the radius of each semicircle is = 16/2 = 8

Therefore the areas of both the semicircles is:

=2×12×π82=64π

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