Answer:
x = 2
Step-by-step explanation:
To find the value of x, we simply need to use the know values for the lengths, widths, and perimeter of the rectangle.
The formula for the perimeter of a rectangle is as follows:
P = 2L + 2W
Where P is the perimeter, L is the length, and W is the width.
Let L = 7x + 5 and W = x - 3
Now, we will simply plug our values into the formula and solve for x.
P = 2L + 2W
36 = 2 ( 7x + 5 ) + 2 ( x - 3 )
36 = 14x + 10 + 2x + -6
36 = 16x + 4
32 = 16x
2 = x
Thus, we have found the value of x to be 2.
Cheers.
