Question

Parker has fee simple title to a rectangular lot on a commercial street. It contains 16,500 square feet and is 150 feet deep. Parker wants to build a store building but needs more space. There are 2 lots available for purchase of identical size and shape to each other, one on each side of his lot. Each of these lots measures 150 feet in depth and contains 1,950 square feet. If Parker acquires both of these lots and combines them with his original lot, his total frontage will be:

Answer 1

After acquiring the two additional lots which both have a frontage of 13 feet, the total frontage Parker will have for his combined property will be 136 feet.

Step-by-step explanation:

To calculate the total frontage that Parker will have after acquiring the two additional lots, we first need to determine the frontage of each of those lots. We know that each lot is 150 feet deep and contains 1,950 square feet. To find the frontage (width at the street) of each lot, we can divide the total square footage of the lot by its depth.

Frontage of each additional lot: 1,950 square feet ÷ 150 feet deep = 13 feet.

Parker's original lot has 16,500 square feet with a depth of 150 feet, which means Parker's original frontage is 16,500 square feet ÷ 150 feet deep = 110 feet.

If Parker acquires both of the additional lots, his total frontage will be the sum of the frontage of his original lot and the frontages of both additional lots:

Total frontage = Original frontage + (2 × Frontage of each additional lot)
Total frontage = 110 feet + (2 × 13 feet)
Total frontage = 110 feet + 26 feet
Total frontage = 136 feet.