SOLUTION: a rectangle is 3 times aas long as it is wide. if the lenght is increased by 6 and the width by 8 the area is increased by 109 find the original dimensions
Algebra.Com
Question 387202: a rectangle is 3 times aas long as it is wide. if the lenght is increased by 6 and the width by 8 the area is increased by 109 find the original dimensions
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Suppose the dimensions of the original rectangle are x and 3x. Then
(3x + 6)(x + 8) = 3x^2 + 109
3x^2 + 30x + 48 = 3x^2 + 109
30x + 48 = 109
x = 61/30, 3x = 61/10
RELATED QUESTIONS
A rectangle is 3 times as long as it is wide. If the length is increased by 6 and the... (answered by ewatrrr)
Please help. A rectangle is 3 times as long as it is wide. If the length is increased by... (answered by ewatrrr)
A rectangle is three times as long as it is wide. If the length and the width are each... (answered by checkley77,stanbon)
A rectangle is 8 cm longer than it is wide. If the width is increased by 3 cm and the... (answered by Fombitz)
A rectangle is twice as long as it is wide. if its length is increased by 6in and its... (answered by checkley71)
If lenght of a rectangle is increased by 30% and the width is decreased by 20% then by... (answered by KMST)
The length of a rectangle is 2 inches more than twice its width. If the length is... (answered by mananth)
A rectangle is three times as long as it is wide. If the length is decreased by 2 cm and... (answered by ikleyn)
A rectangle is 4 m longer than it is wide. If the lenght and width are both increased by... (answered by mananth)