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4 votes
Joseph's front porch is rectangular. The length is 8 feet more than the width. The

perimeter of the porch is 52 feet. What is the width of the porch?
A. 9 feet
B. 14 feet
C. 17 feet
D. 22 feet

2 Answers

1 vote

Final answer:

Using the formula for the perimeter of a rectangle, we set up an equation with the width as a variable and solved it to find that the width of the porch is 9 feet.

Step-by-step explanation:

To determine the width of Joseph's front porch we will use the given information that the length is 8 feet more than the width and the perimeter is 52 feet. We know that the perimeter of a rectangle is calculated by the formula P = 2l + 2w, where l is the length and w is the width.

Let's represent the width of the porch as w feet. According to the problem, the length will then be w + 8 feet. So we can write the equation for the perimeter as:

52 = 2(w + 8) + 2w

To find w, we first multiply out the terms inside the parenthesis and combine like terms:

52 = 2w + 16 + 2w
52 = 4w + 16

Then we subtract 16 from both sides:

52 - 16 = 4w
36 = 4w

Finally, we divide both sides by 4:

36 / 4 = w
9 = w

Therefore, the width of the porch is 9 feet, which corresponds to option A.

User Jimbo Jones
by
8.3k points
4 votes
It Hass to be definitely B because there’s no other way it’s leading up to a C or D so I’m gonna stick with my answer
User Corey Burke
by
8.0k points

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