Answers

2015-06-04T20:46:21+08:00

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
I can't explain much but here is how to solve that.

The formula for the are of a rectangle is A = LW

Width = w
Length = 8m longer than the width = w + 8

Area of the swimming pool = Length x Width = 105 
                                           = w + 8 ( w)
                                           = w² + 8w   
                                           = w² + 8w = 105
                                              w² + 8w - 105 = 0
                            (Factor this out)
 w² + 8w - 105 = 0
( w + 15 ) (w - 7) = 0
w + 15 = 0, w - 7 = 0
w  = -15,  w = 7

Since there is no -15m in length, then the length and width is:

Length of the swimming pool = 15m
Width of the swimming pool   = 7m

Overall, they are equal to:  15m x 7m = 105, CORRECT
                                           15m - 7m = 8m, CORRECT


0