Question
3. A city street parking spot has a perimeter of 256 feet. The parking spot has side lengths of 17 feet; 52 feet; 18 feet; and 29 feet. What is the length of the missing side?
Ask by Hamilton Gordon. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The missing side is 140 feet.
Solution
**Step 1: Write the equation for the perimeter.**
The total perimeter is given by the sum of all sides. If the missing side is \( x \), the equation is:
\[
17 + 52 + 18 + 29 + x = 256
\]
**Step 2: Compute the sum of the given sides.**
\[
17 + 52 = 69
\]
\[
69 + 18 = 87
\]
\[
87 + 29 = 116
\]
So, the sum of the known sides is \( 116 \) feet.
**Step 3: Solve for \( x \).**
Substitute the sum into the equation:
\[
116 + x = 256
\]
Subtract \( 116 \) from both sides to find \( x \):
\[
x = 256 - 116 = 140
\]
**Final Answer:** The missing side is \( 140 \) feet.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Bonus Knowledge
To find the length of the missing side of the parking spot, you can use the formula for the perimeter of a polygon, which is the sum of all its sides. The given perimeter is 256 feet and the sides are 17 feet, 52 feet, 18 feet, and 29 feet. First, you add the lengths of the known sides: 17 + 52 + 18 + 29 = 116 feet. Now, subtract that sum from the total perimeter to find the missing side: 256 - 116 = 140 feet. So, the length of the missing side is 140 feet! Easy as pie! 🍰
