Answer:
L = 10, w = 17
Step-by-step explanation:
Area of a rectangle is A = Lw. We are told that the width is 3 less than twice the length, so we will change the width into some expression in terms of the length.
w = 2L - 3 and
length = L.
Filling in the area formula now, knowing that the area is given as 170:
170 = (2L - 3)(L) so
[tex]170=2L^2-3L[/tex]
Get everything on one side of the equals sign and throw it into the quadratic formula to factor it and solve for the values of L. When we do this we get that L = 10 and L = -8.5
Since the 2 things in math that will NEVER EVER be negative are time and distance/length measures, it is safe to disregard the -8.5. Therefore,
if L = 10, then
w = 2(10) - 3 and
w = 17
