Question

A builder owns a triangular-shaped lake lot that has a road frontage (base) of 76 feet and a depth of 125 feet. What is the area of the lot?

A. None of the answers listed.
B. 4,750 square feet
C. 277 square feet
D. 9,500 square feet

Answer 1

Using the area formula for a triangle, the area of the triangular lot with a base of 76 feet and height of 125 feet is calculated to be 4,750 square feet.

Step-by-step explanation:

The question is asking for the area of a triangular lot, given its base and height (road frontage and depth respectably). To calculate the area of a triangle, the formula is Area = ½ × base × height. In this scenario, the base is 76 feet, and the height is 125 feet.

Applying the formula, we get:

Area = ½ × 76 ft × 125 ft

Area = 38 ft × 125 ft

Area = 4,750 square feet

Therefore, the area of the lot is 4,750 square feet, which makes option B the correct answer.