Question

If a farmer's lot is a rectangle and it has 30 acres in it, and the width is 726 feet, what is the length?

a) 1,320 feet
b) 1,320 yards
c) 1,320 meters
d) 1,452 feet

Answer 1

To calculate the length of the farmer's lot, we convert 30 acres to square feet and divide by the width of 726 feet, resulting in a length of 1,800 feet. None of the provided answer choices match this calculation, suggesting a potential typo in the question or provided options.

Step-by-step explanation:

To find the length of the farmer's lot, we must understand that area of a rectangle is calculated by multiplying its length by its width. Since we have the area and the width, we can rearrange the formula to find the length: Length = Area / Width.

The area of the farm is given as 30 acres and the width is 726 feet. First, we need to convert acres to square feet because the width is in feet. There are 43,560 square feet in one acre, so 30 acres is equivalent to 30 x 43,560 = 1,306,800 square feet.

Now we divide the total area in square feet by the width to find the length:

Length = 1,306,800 square feet / 726 feet = 1,800 feet.

Looking at the options provided, we notice that none of the answers exactly match our calculation. However, because 1,800 feet equals 600 yards, which is close to one of the provided answers, we must consider possible measurement rounding errors or misprints in the question. As no option directly aligns with our calculation, we would advise the student to check the original question for possible typos and confirm the conversion factors used.

Answer 2

To find the length of the farmer's lot, we can use the formula for the area of a rectangle, which is length multiplied by width. Since we know the area (30 acres) and the width (726 feet), we can rearrange the formula to solve for the length.

First, we need to convert acres to square feet:

1 acre = 43,560 square feet

So, 30 acres = 30 * 43,560 = 1,306,800 square feet

Now, we can use the formula:

Area = length * width

1,306,800 = length * 726

Solving for length:

length = 1,306,800 / 726

length ≈ 1,799.45 feet

Since none of the options provided matches the calculated length, I would advise double-checking the values and the corresponding options.