Answer:
The dimensions for the entire area will give the cheapest cost for the entire fence are 40 feet in front, 100 feet on each side, and 40 feet on bottom.
Explanation:
Since Mrs. Jones always wanted a white picket fence in front of her house, and Mr. Jones, her husband, wants a fence around the entire house including a decently-sized lawn in the front and a garden in the back, and the fence border should look like a rectangle, and I have calculated that he would need to fence off an area of 4,000 square feet in order to fit all these things, and he wants to appease his wife and at least build the white picket fence in front of the house, and he plans to build the rest of the fence with chain link, a cheaper material, given that a white picket fence costs $ 7 per foot and a chain link fence costs $ 4 per foot, to determine what dimensions for the entire area will give the cheapest cost for the entire fence, the following calculation should be performed:
Area of a rectangle = base times height = Z x Y = 4,000
80 x 50 = 4,000
40 x 100 = 4,000
20 x 200 = 4,000
20 x 7 x 2 + 200 x 4 x 2 = X = 280 + 1600 = 1880
40 x 7 x 2 + 100 x 4 x 2 = X = 560 + 800 = 1360
80 x 7 x 2 + 50 x 4 x 2 = X = 1120 + 400 = 1520
Therefore, the dimensions for the entire area will give the cheapest cost for the entire fence are 40 feet in front, 100 feet on each side, and 40 feet on bottom.
