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.
a. The building code states that a building must be no
closer than 25 ft to the lot line. Write and solve an
inequality to determine how long the cottage front
facing the lake may be.
b. The buyers expect that the cost of the cottage will be
about $125,000. They are able to deviate from this cost
by no more than $12,500. Write and solve an absolute
value inequality to find the range of costs. Explain your
220 ft
answer.
110 ft