Question

Please help! a rectangle's width is 6 feet less than it's length. write a quadratic function that expresses the rectangles area in terms of its length.

A. A( L) = L - 6

B. A( L) = L^2 - 6L

C. A( L) = L^2 + 6L

D. A( L) = Lw

Answer 1

Answer: OPTION B

Explanation:

The formula for calculate the area of a rectangle is the shown below:

`A=L*w`

Where the lenght is l and the width is w

You know that the width is 6 feet less than it's length. Therefore, you must substitute w=l-6 into the formula show above.

Therefore, the quadratic function that expresses the rectangles area in terms of its length is:

`A(L)=L(L-6)`

`A(L)=L^2-6L`

Answer 2

B. A( L) = L² - 6L

Explanation:

A rectangle has 2 sides, length and width.

length = L

width = L - 6

Area = length × width

= L(L - 6)

= L² - 6L

The correct choice is B.

B. A( L) = L² - 6L