Question

A factory is to be built on a lot measuring 240 ft by 320 ft. A local building code specifies that a lawn of uniform width and equal in area to the factory must surround the factory. What must the width of the lawn be? If the dimensions of the factory are A ft by B ft with A

Answer 1

Explanation:

Answer:Width of lawn = 35 ftDimensions of factory = length: 210 ft, width: 140 ftStep-by-step explanation:The total area of the lot can be calculated as:Since, the area of factory should be equal to area of lawn:Now, let 'x' be the width of lawn, the dimensions of factory can be written as:Since, area is equal to length x width:Divide whole equation by 4,Solving above quadratic equation, we get,x = 35 seems realistic width of the lawn. Now, finding the dimension of factory:We can also reconfirm the area of factory by multiplying the above two lengths:140 * 210 = 29400 ft