an owner wishes to construct a sidewalk 5' wide and 3" deep around teo sides of 60'x 100' corner lot. The walk will be placed one ft outside the property line.How many sq yards of conrete surface will there be ?

To find the area of the concrete sidewalk, we need to consider the dimensions given and then calculate the area in square yards.

### Step 1: Determine the dimensions of the sidewalk.
- The lot is 60 feet by 100 feet.
- The sidewalk is 5 feet wide and is to be constructed along two sides of the lot.
- The sidewalk is placed 1 foot outside the property line.

### Step 2: Calculate the length of the sidewalk.
- One side of the sidewalk runs along the 100-foot side of the lot plus the extra 1-foot offset on each end, making it \( 100 + 2(1) = 102 \) feet.
- The other side runs along the 60-foot side of the lot plus the extra 1-foot offset on each end, making it \( 60 + 2(1) = 62 \) feet.

Since the sidewalk wraps around the corner, the effective length is the sum of these two sides:

\[
\text{Total length} = 102 + 62 = 164 \text{ feet}
\]

### Step 3: Calculate the area in square feet.
The width of the sidewalk is 5 feet. Therefore, the area in square feet is:

\[
\text{Area in square feet} = 164 \times 5 = 820 \text{ square feet}
\]

### Step 4: Convert square feet to square yards.
There are 9 square feet in a square yard, so:

\[
\text{Area in square yards} = \frac{820}{9} \approx 91.11 \text{ square yards}
\]

### Conclusion:
The area of the concrete sidewalk surface will be approximately **91.11 square yards**.

Do you want more details or have any questions about this? Here are five related questions to explore further:

1. How much concrete (in cubic yards) is required if the sidewalk is 3 inches deep?
2. What would be the cost of concrete if the price per square yard is known?
3. How would the area change if the sidewalk width was increased to 6 feet?
4. How does the shape of the lot affect the total area of the sidewalk?
5. What is the perimeter of the sidewalk if it wraps around three sides instead of two?

**Tip:** Always convert all measurements to the same unit before performing calculations to avoid errors.

Learn how to calculate the concrete surface area for a 5-foot wide sidewalk around a 60' × 100' corner lot, placed 1 foot outside the property line. Includes step-by-step calculations and conversion to square yards.

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