Question

x and Molly plan to put down all-weather carpeting on their porch. The length of the porch is 4 ft longer than twice the width, and the perimeter is

Answer 1

To find the dimensions of the porch, let's set up some variables based on the information given.

Let \( w \) be the width of the porch in feet.

According to the problem, the length \( l \) of the porch is given by the equation:
\[
l = 2w + 4
\]

The perimeter \( P \) of a rectangle (which is the shape of the porch) is calculated using the formula:
\[
P = 2l + 2w
\]

However, it appears the problem did not provide a specific value for the perimeter. If you have a specific perimeter value, we could then substitute \( l \) into the perimeter equation to find the dimensions.

Assuming you do have the perimeter value, for example \( P \), we can substitute in the expression for \( l \):
\[
P = 2(2w + 4) + 2w
\]
\[
P = 4w + 8 + 2w
\]
\[
P = 6w + 8
\]

From here, you can solve for \( w \):
\[
6w = P - 8
\]
\[
w = \frac{P - 8}{6}
\]

Once you find \( w \), you can then find \( l \) using:
\[
l = 2w + 4
\]

If you have a specific value for the perimeter (P), please provide it, and I can help you calculate the exact length and width of the porch.