The area of a rectangle is 15 square centimeters and the perimeter is 16 square centimeters. What are the dimensions of the rectangle?

Given that the area of the rectangle is 15
cm^2.

Also, given that the perimeter is 16
cm^2

We need to find the length of the
sides.

==> Let the sides be L and
w.

==> L*W = 15
...........(1)

==> 2L + 2W =
16

We will divide by
2.

==> L + W = 8
..............(2)

We will use the substitution method to
solve.

==> L = 8-
w

==> (8-W) * W =
15

==> 8W - W^2 =
15

==> W^2 - 8W +15 =
0

==> (w-3)(W-5) =
0

==> W1= 3 ==> L1=
5

==> W2 = 5 ==> L2 =
3

But the length must be greater than the
width.

Then, the length is 5 and the width is
3.