Suppose you have 48 feet of fencing to enclose a rectangular dog pen. the function a = 24x-x2, where x = width, gives you the area of the dog pen in square feet. what width gives you the maximum area? what is the maximum area?

We are given

where

x is width of rectangle

A is area of rectangle

Since, we have to maximize it

so, we will find it's derivative

and then we can set it to 0

and then we can solve for x

now, we can set it to 0

and then we can solve for x

So, width is 12  feet

Maximum area:

we can plug x=12

So, the maximum area is

................Answer

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm

15

step-by-step explanation: