SOLUTION: The length of a rectangle is 2 1/2 times its width. Its area is 90 squares units. What are its dimensions?
Algebra.Com
Question 660866: The length of a rectangle is 2 1/2 times its width. Its area is 90 squares units. What are its dimensions?
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
a= lw = 90
l=2 1/2(w)
Substitute l into the first equation
(2 1/2(w))w = 90
2.52w^2 - 90 = 0
Multiples of 90: 30,3: 15,6
Using 15,6 as 2.5 times one of them must equal the other
(2.5w+15)(w-6)=0
w = -15/2.5 NO
w = 6
l = 2 1/2(6) = 15
RELATED QUESTIONS
I have two algebra I word problems i need help setting up. I would like if you can... (answered by richwmiller)
Hi,
I have a question. It is a word problem I am to state as a quadratic equation. I... (answered by josmiceli)
The length of a rectangle garden is 2 m longer than 3 times its width.
The area is 90... (answered by josgarithmetic)
The length of a rectangle is 13 centimeters less than its width. What are the dimensions (answered by Boreal,ikleyn,josgarithmetic)
The length of a rectangle is 9 cm more than its width. The area of the rectangle is 136... (answered by Cromlix)
the length of a rectangle is 2cm more than twice its width. its area is 144cm*2. what are (answered by josgarithmetic)
The width of a rectangle is 1 m less than the length. If the area of the rectangle is 60... (answered by jorel555)
the area of a rectangle is 54 square centimeters. the length of the rectangle is 1*1/2... (answered by Alan3354)
The width of a rectangle is 1/2 meter less than 1/2 its length. The area is 21m^2. What... (answered by Fombitz)