The perimeter of the patio shown below is 120 feet. Develop a formula to find y in terms of x. Explain your work.

Perimeter of the given patio is .

Step-by-step explanation:

Let us first label the given patio using the points A, B, C, D, E and F as shown the attachment diagram.

Perimeter of given figure can be found by the following:  

Perimeter of polygon ABPCDEQF + Perimeter of semi-circle with diameter as EF.  

Let us mark points P and Q on sides AB and FA respectively.  

These points P and Q are just opposite to point D. Please refer to attached diagram for details.

As this figure has symmetry so, sides  

Perimeter of polygon APBCDEQF = AP + PB + BC + CD + DE + FQ + QA (Side EF is not on the periphery so it is excluded)

Perimeter of semicircle =

Radius of semicircle is y.  

Adding equations (1) and (2):  

Perimeter of the given figure is

mean, 40.6

step-by-step explanation:

its adding 5.5 each time

step-by-step explanation: