Math Word Problems Demystified - A Self Teaching Guide

xþ 2 xþ 30 þxþ 2 xþ 30 ¼ 180

6 xþ 60 ¼ 180

6 xþ 60 
 60 ¼ 180 
 60

6 x¼ 120

61 x

61

¼

120

6

x¼ 208

2 xþ 30 ¼ 2 ð 20 Þþ 30 ¼ 708

208 þ 708 ¼ 908

The measures of the angles are 20 8 ,70 8 , and 90 8.

7 : Letx¼the width of the rectangle

xþ 4 ¼the length of the rectangle

A¼lw

60 ¼ðxþ 4 Þx

60 ¼x^2 þ 4 x

0 ¼x^2 þ 4 x
 60

0 ¼ðxþ 10 Þðx
 6 Þ

xþ 10 ¼ 0 x
 6 ¼ 0

xþ 10 
 10 ¼ 0 
 10 x
 6 þ 6 ¼ 0 þ 6

x¼
 10 x¼ 6

xþ 4 ¼ 6 þ 4 ¼ 10

The length of the rectangle is 10 inches and the width is 6 inches.

8 : Letx¼the measure of the height

andxþ 7 ¼the measure of the base

LESSON 20 Word Problems in Geometry 249