Question 2443: The lenth of a rectangle is 1 more than five times the width. If the area is 130 square cm, find the dimensions of the rectangle. Answer by gsmani_iyer(201) (Show Source):
You can put this solution on YOUR website!
Before proceeding further, the student is advised to see my earlier solved problem No.2444. Now let us solve this problem too. But Child, you must also try to solve.
Let the width = x cms.
So the length = 5x + 1 cms.
The area, i.e x*(5x + 1) = 130 Sq.Cms.
= 5 + x = 130
so 5 + x - 130 = 0
= 5-25x+26x-130 = 0
= 5x(x-5) + 26(x-5) = 0
= (x-5)*(5x+26) = 0
So either (x-5) =0 or
(5x+26) = 0.
So x = 5 or x = -5.2.
As 'x' denotes the width of the rectangle, it cannot be negative. So,
the width = 5 cms. Answer.
gsm
