L = 4W - 3
L * W = (4W-3) * W = 10
Solve for W, then L.
The length of a rectangle is 3 centimeters less than four times it’s width. It’s area is 10 square centimeters. Find the dimensions of the rectangle.
2 answers
L = 4 w - 3
L w = 10 so L= 10/w
10 /w = 4 w -3
10 = 4 w^2 - 3 w
4 w^2 - 3 w - 10 = 0
w = 2 works, other root is negative
then L = 10/2 = 5
L w = 10 so L= 10/w
10 /w = 4 w -3
10 = 4 w^2 - 3 w
4 w^2 - 3 w - 10 = 0
w = 2 works, other root is negative
then L = 10/2 = 5
1 answer