Find a formula for the described function. A rectangle has perimeter 24 m. Express the area A of the rectangle as a function of the length, L, of one of its si

Question

Find a formula for the described function.

A rectangle has perimeter 24 m. Express the area A of the rectangle as a function of the length, L, of one of its sides.

Answer 1

Adam I think you might want to sign up for a session with someone it would probably be faster :D

 

Area = L x W

 

Lets use the answer to the other question i helped you with here!

 

W = (P-2L)/2

 

We used the perimeter equation to solver for Width, now we can plug in the right half of this formula to the Area eqaution.

 

A = L (P-2L)/2

 

But we know P! The problem told us the perimeter is 24 so:

 

A = L (24-2L)/2   This is probably fine, but we can clean up by dividing the 2 into the parentheses

 

A = L (12 - L)   or   A = 12L - L²

 

Good luck!