Question

The perimeter of the rectangle below is 76 units. Find the length of side CD.

Write your answer without variables.
D
2x
A
3x - 2
C
B
CD =

Answer 1

Explanation:

the perimeter of a rectangle is

2×length + 2×width.

in our case that means

2×(3x - 2) + 2×(2x) = 76

6x - 4 + 4x = 76

10x - 4 = 76

10x = 80

x = 8

so,

CD = 3x - 2 = 3×8 - 2 = 24 - 2 = 22 units

Answer 2

To find the length of side CD without variables, you need to determine the value of x. Since the perimeter of the rectangle is given as 76 units, you can set up an equation based on the perimeter:

Perimeter = 2 * (length + width)

Given that the length of side CD is 2x and the length of side AD is 3x - 2, you can set up the equation:

2 * (2x + 3x - 2) = 76

Now, solve for x:

2 * (5x - 2) = 76

10x - 4 = 76

10x = 80

x = 8

Now that you know the value of x, you can find the length of side CD:

CD = 2x = 2 * 8 = 16

So, the length of side CD is 16 units.

if this is wrong, im greatly sorry :) i tried my best