Find the coordinates

Given:

The two points are P(14,16) and Q(21,19).

M is the midpoint of the segment PQ.

To find:

The distance between P and Q, and find the coordinates of point M.

Solution:

Distance between P(14,16) and Q(21,19) is

On further simplification, we get

The midpoint of P and Q is M. So, the coordinates of the midpoint are:

Therefore, the distance between P and Q is and the midpoint of P and Q is .

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

the correct answer is $7.38

step-by-step explanation: