Question

If the perimeter of a regular pentagon is 55x*y* + 35x"y - 5xy, what is the length of

each side? Find the length if x = 4.

Answer 1

the length of each side is 68y, where y is some unknown value. We cannot find the length of each side without knowing the value of y.

Explanation:

The perimeter of a regular pentagon is given by the formula:

Perimeter = 5s

where s is the length of each side.

We can rewrite the given expression for the perimeter as:

55x*y + 35x"y - 5xy = 5s

Dividing both sides by 5, we get:

11x*y + 7x"y - xy = s

To find the length of each side when x = 4, we substitute x = 4 into the expression above:

11(4)y + 7(4)y - 4y = s

44y + 28y - 4y = s

68y = s

Therefore, the length of each side is 68y, where y is some unknown value. We cannot find the length of each side without knowing the value of y.