Question

And here are the answer choices for the question, Heather.

L = 12

L = 8

L = 6

L = 6/5

Answer 1

L = 6 units

Explanation:

It is given that:

P(rectangle) = A(rectangle)

-> 2(l + w) = lw

-> 2(l + 3) =l(3)

-> 2l + 6 = 3l

-> 6 = 3l - 2l

-> 6 = l

-> l = 6 units

Thus, the length of the rectangle is 6 units.

Answer 2

L = 6 units

Explanation:

The problem is stating that the perimeter and area are equal to each other. We can use the known equations, plug in the value of 3 it gives us for the width, and solve for the length.

P = 2L + 2W

A = L * W

-

P = 2L + 2(3)

A = L * 3

We know that the perimeter is equal to the area, so I am going to set the two equations I have equal to each other and solve for L, or the length.

P = 2L + 2(3)

A = L * 3

-

2L + 2(3) = L * 3

2L + 6 = 3L - In this step I subtract 2L from both sides of the equation

6 = L

L = 6 units