Question

The length of a rectangular patio is 7 feet more than its width, w. The area of a patio, A(w), can be represented by function

Answer 1

Answer:

The function that represents the area of the the patio is A(w) = w² + 7w.

Step-by-step explanation:

The area of a rectangle is given by the following formula:

area = width*length

In this case the length is 7 feet more than the width, using "l" for length and "w" for width we have:

l = w + 7

Using this on the formula we have:

A(w) = area = w*(w+7) = w² + 7w

The function that represents the area of the the patio is A(w) = w² + 7w.

Answer 2

The area of rectangular patio is represented by function,

                                    $A(w)=w^{2} +7w$

Area of rectangle:

Let us consider that width is w

Given that, the length of a rectangular patio is 7 feet more than its width

so that, length of rectangular patio is $(w+7)$

Area of patio is,

               $Area=length*width\\\\Area=(w+7)*w\\\\Area=w^{2} +7w\\\\A(w)=w^{2} +7w$

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