What is the perimeter of the trapezoid with vertices q(8, 8), r(14, 16), s(20, 16), and t(22, 8)? round to the nearest hundredth, if necessary. units

The perimeter of the trapezoid is

Step-by-step explanation:

we know that

The perimeter of the trapezoid is the sum of its four side lengths

so

In this problem

the formula to calculate the distance between two points is equal to

we have

step 1

Find the distance QR

substitute the values in the formula

step 2

Find the distance RS

substitute the values in the formula

step 3

Find the distance ST

substitute the values in the formula

step 4

Find the distance QT

substitute the values in the formula

step 5

Find the perimeter

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).