the width of a rectangle is two more than three times it’s length. find the dimensions of the rectangle if the area of the rectangle is 5.

Question

word problem

Answer 1

Length = L
Width = W

The width of a rectangle is two more than three times its length:
W = 2 + (3*L)

The area of the rectangle is 5:
Area = L*W = 5

We want to solve for a single Variable, so let’s substitute the equation we got for W into the Area:
5 = L * W
5 = L * (2+3L)
5 = 2L + 3L²

Let’s subtract 5 from both sides and rearrange the equation.
0 = 3L² + 2L - 5
0= (3L+5)*(L-1)

Solve for L:
(3L+5) = 0 and (L-1) = 0
L = -5/3 and L = 1
Careful! Length of a rectangle cannot be negative, so (L=1) is our only option.

Plug in (L=1) to get the Width:
W = 2+ 3L
W = 2+3(1)
W = 5

Dimensions of the Rectangle:
L = 1 and W = 5

Answer 2

Try to visit this website and see if it will give you an insight and guidanceinto the solution steps to the problem:

www.geteasysolution.com