SOLUTION: 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.
Algebra.Com
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
RELATED QUESTIONS
The Lenth of a rectangle is 4 more than the width. The area of the rectangle is 1 more... (answered by advanced_Learner,Alan3354)
What is the dimensions of a rectangle Lenth and width if the length is two more than five (answered by pphantom)
the perimater of a rectangle is 56 cm. the lenth of the rectangle is 2 cm more than the... (answered by blubunny01)
the length of a rectangle is 3 feet less than five times its width, if the perimeter is... (answered by mananth)
The length of a rectangle is 18 cm less than five times its width. Its area is 35 square... (answered by Timnewman)
the width of a rectangle is 15 cm less than 3 times the lenght if the area is 42 square... (answered by josgarithmetic)
the width of a rectangle is 15 cm less than 3 times the lenght if the area is 42 square... (answered by ikleyn)
If the lenth and width of a rectangle is 5 more than the width and the area is 204 square (answered by Alan3354)
The perimeter of a rectangle is five times the width. the length is 5 cm more than the... (answered by josgarithmetic)