Arectangle is inscribed in a semicircle of radius 2. let p = (x, y) be the point in the quadrant i that is a vertex of the rectangle and is on the circle.

1) express the area a of the rectangle as a function of x.
2) express the perimeter p of the rectangle as a function of x.

The solutions would be like this for this specific problem. Please refer to the attachment below. 

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its 60

4 x 12 = 48

3 x 4 = 12

48 + 12 = 60

yeeeet

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).