Math Word Problems Demystified - A Self Teaching Guide

A¼

1

2

bh

30 ¼

1

2

ðxþ 7 Þx

30  2 ¼

21

1



1

21

ðxþ 7 Þx

60 ¼x^2 þ 7 x

60 
 60 ¼x^2 þ 7 x
 60

0 ¼x^2 þ 7 x
 60

0 ¼ðxþ 12 Þðx
 5 Þ

xþ 12 ¼ 0 x
 5 ¼ 0

xþ 12 
 12 ¼ 0 ¼ 0 
 12 x
 5 þ 5 ¼ 0 þ 5

x¼
 12 x¼ 5

The height is 5 feet and the base is 5þ 7 ¼12 feet.

9 : Letx¼the length of the side of the smaller square

and 6x¼the length of the larger square; then

(6xÞ^2 
x^2 ¼ 875

36 x^2 
x^2 ¼ 875

35 x^2 ¼ 875

351 x^2

351

¼

875

35

x^2 ¼ 25

x¼

ffiffiffiffiffi

25

p

¼5 inches

250 LESSON 20 Word Problems in Geometry