Math Word Problems Demystified - A Self Teaching Guide

8. The base of a triangle is 7 feet longer than its height. If its area is 30
   square feet, find the measures of the base and height. UseA¼^12 bh.


9. If the side of a large square is 6 times as long as the side of a smaller
   square and the area of the large square is 875 square inches larger
   than the area of the smaller square, find the length of the side of the
   smaller square. UseA¼s^2.


10. If the area of a circle is 379.94 square inches, find the radius. Use
    A¼3.14r^2.

SOLUTIONS:

1 : Letx¼the width

andxþ 3 ¼the length

P¼ 2 lþ 2 w

42 ¼ 2 ðxþ 3 Þþ 2 x

42 ¼ 2 xþ 6 þ 2 x

42 ¼ 4 xþ 6

42 
 6 ¼ 4 xþ 6 
 6

36 ¼ 4 x

36

4

¼

41 x

41

9 inches¼x

xþ 3 ¼ 9 þ 3 ¼12 inches

The length is 12 inches and the width is 9 inches.

2 : Letx¼the length of one of the two equal sides

andx
 6 ¼the length of the third side

246 LESSON 20 Word Problems in Geometry