can someone answer this question

Question

the length of a rectangle is the sum of the width and 3. the area of the rectangle is 54. would a linear, quadratic or exponential function be the best type of equation to model this function

1. Exponential
2. Linear
3. Quadratic

Answer 1

We can work this out by first writing equations for the information given to us.

"the length of a rectangle is the sum of the width and 3" translates to:

l = w + 3

"the area of the rectangle is 54" translates to:

l * w = 54

We can now substitute "w + 3" for l from the first equation into the second:

(w + 3) * w = 54

Multiplying it out, we get:

w² + 3w = 54

This is a quadratic equation, so the answer is quadratic.

Answer 2

L = W +3

A= LW =54 = (W+3)W = W^2 + 3W = 54

W^2 + 3W - 54=0

It's a quadratic function

W^2 +3W -54 = 0

(W+9)(W-6) = 0

W = 6 (ignore the negative length

L + 3+W =9

LW = 54