IDNStudy.com, ang iyong mapagkakatiwalaang mapagkukunan para sa maaasahang mga sagot. Makakuha ng mga sagot sa iyong mga tanong mula sa aming mga eksperto, handang magbigay ng mabilis at tiyak na solusyon.

The length of a swimming pool is 8m longer than its width and the area is 105m^2 .
question.express the length and width form an equation and solve the misiing length and width


Sagot :

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