Question

The perimeter of the rectangle below is 64 units. Find the length of side CD.

Answer 1

Answer:

CD = 18 units

Step-by-step explanation:

Given a rectangle with length x and width y, the perimeter is:

P = 2x + 2y

Here, we note that x = AB = CD, y = AD = BC, and P = 64 units. So:

2AB + 2BC = 64

We know that AB = 3z and BC = 2z + 2; plug these in:

2 * (3z) + 2 * (2z + 2) = 64

6z + 4z + 4 = 64

10z = 60

z = 6

Now that we've solved for z, we can find AB and, hence, CD because AB = CD.

AB = 3z = 3 * 6 = 18 units

Thus, CD = 18 units, as well.