Chapter 8.CT, Problem 5CT

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# In square feet, find the area of ▱ E F G H .

To determine

To find:

The area of EFGH in feet.

Explanation

Given:

The figure given below.

Theorem:

1. The area A of a parallelogram whose base has length b and with corresponding altitude of length h is given by A=bh.

2. 1 yard = 3 feet

From the given figure, EF=b=5 yd or b=15 ft, EI=2 yd or 6 ft, and let the altitude be HI=h.

In the right triangle EHI,

HI2+EI2=HE2

h2+62=102

h2=102-62

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