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 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 answer.