Question

A rectangle's width is 6 feet less than its length. Write a quadratic function

that expresses the rectangle's area in terms of its length.
A. A(1)=1²-61
B. A(7)=7w
c. A(1)=12+61
D.A(7)=1-6

Answer 1

A. A(l) = l² -6l

Explanation:

You want a quadratic function for the area of a rectangle whose width is 6 feet less than its length.

Rectangle area

Let l (ell) represent the length of the rectangle in feet. Then the width will be 6 feet less, or (l -6). The area is the product of length and width:

A = LW

A(l) = l(l -6)

A(l) = l² -6l . . . . . . use the distributive property to eliminate parentheses