Question

An architect is designing a new lakefront cottage. He must consider the building codes in the design. The rectangular lot on which the cottage will be built is 220 ft long and has 110 ft of frontage on the lake. The building code states that a building must be no closer than 25 feet to the lot line. Write and solve an inequality to determine how long the cottage front facing the lake may be

Answer 1

The front of the cottage facing the lake can be a maximum of 85 feet.

Step-by-step explanation:

To determine how long the cottage front facing the lake may be, we need to consider the building code restriction. According to the code, a building must be no closer than 25 feet to the lot line. In this case, the lot has 110 feet of frontage on the lake. Therefore, the front of the cottage facing the lake can be a maximum of 110 feet minus 25 feet, or 85 feet.