Question

AB = 5x-2 and AD= 3x, and CD = 3x + 10, find x, and the perimeter of the rectangle

Answer 1

x = 6, perimeter = 92

Explanation:

set AB and CD equal and solve to find x:

5x-2 = 3x+10

+2 +2

5x = 3x+12

-3x -3x

2x = 12

/2 /2

x = 6

then plug your answer for x in to find AD, and BA:

3(6)= 18 5(6)-2= 28

30-2

add 18, 18, 28, and 28 to get 92

Answer 2

AB = 5x - 2

AD = 3x

CD = 3x + 10

To find x:

5x - 2 = 3x + 10

2x = 12

x = 6

Now, the side lengths are:

AB = CD = 5x - 2 = 5(6) - 2 = 28

AD = BC = 3x = 3(6) = 18

Therefore, the value of x is 6, and the side lengths are AB = CD = 28 units, AD = BC = 18 units. The perimeter of the rectangle is 2 * (AB + AD) = 2 * (28 + 18) = 2 * 46 = 92 units.

Explanation: