High School

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A one-acre parcel of land that is square is divided into four lots of equal size. If the lots are rectangular, parallel to each other, and are 240 feet deep, what is the width of each lot?

A. 45.4 feet
B. 90.8 feet
C. 181 feet
D. 240 feet

Answer :

Final answer:

To find the width of each lot, divide the total area of the one acre parcel by the number of lots and solve for x. The width of each lot is most nearly 45.4' Hence the correct answer is option A

Explanation:

To find the width of each lot, we need to divide the total area of the one acre parcel by the number of lots, which is 4.

Since the parcel is square, the length and width are equal. Let's assume the width of each lot is x.

Therefore, the area of each lot is x × 240 = 240x square feet.

So, to divide the one acre parcel into four lots of equal size, we have: 4 × (240x) = 1 acre.

Now, let's solve for x:

4 × 240x = 43560 square feet (1 acre is equal to 43560 square feet)

960x = 43560

x = 45.4

Therefore, the width of each lot is most nearly 45.4' (option A).

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