Respuesta :
[tex]2(4x + 3) + 2(5x + 1) = 98 \\ 8x + 6 + 10x + 2 = 98 \\ 18x + 8 = 98 \\ 18x = 90 \\ x = 5[/tex]
Substitute x with 5,
CD =
[tex]4x + 3 \\ = 4(5) + 3 \\ = 20 + 3 \\ = 23[/tex]
CD = 23 units
Hope this helps.
The length of the CD of the rectangle will be 23 units.
What is the perimeter of the rectangle?
The sum of all the sides of the rectangle will be known as the perimeter of the rectangle.
Let L be the length and W be the width of the rectangle.
Then the perimeter of the rectangle will be
Perimeter of the rectangle = 2(L + W) units
The perimeter of the rectangle below is 98 units.
CD = 4x + 3 and CB = 5x + 1
Then the perimeter of the rectangle will be
P = 2 (CB + CD)
98 = 2 (4x + 3 + 5x + 1)
49 = 9x + 4
9x = 49 - 4
9x = 45
x = 45/9
x = 5
Then the length of CD will be
CD = 4x + 3
CD = 4(5) + 3
CD = 20 + 3
CD = 23 units
Then the length of CD will be 23 units.
More about the perimeter of the rectangle link is given below.
https://brainly.com/question/15287805
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