Question

Write a function rule for the area of a rectangle whose length is 6 ft more than its width. What is the area of the rectangle when its width is 7 ft? Write a function for the area A of the rectangle using the independent variable width W.

a) A = 6W
b) A = 7W
c) A = W + 6
d) A = W(W + 6)

Answer 1

The function rule for the area of a rectangle whose length is 6 ft more than its width is A = W(W + 6). When the width is 7 ft, the area of the rectangle is 91 square feet.

Step-by-step explanation:

To write a function rule for the area of a rectangle where the length is 6 ft more than its width, let's define the width as W (the independent variable). Since the length is 6 ft more, the length will be W + 6 ft. The area A of a rectangle is calculated by multiplying its length by its width, hence for our rectangle, the area function rule will be A = W(W + 6).

When the width W is 7 ft, the area A can be determined by substituting 7 for W in the function, which results in A = 7(7 + 6) or A = 7(13), which means A = 91 square feet. Therefore, with a width of 7 ft, the area of the rectangle is 91 square feet.