A house on the land measures 45 feet by 38 feet,a wooded area covers 118 feet by 60 feet,and the front yard is 78 feet by 40 fee t.The remainder of the land is farmed.How many acres of land are farmed?Round to the nearest tenth.Explain your answer.(Hint: 1 acre = 43,560 square feet)
1 answer:
The figure is composed of 2 shapes. A rectangle and a right triangle. Area of the Rectangle = 600 ft * 200 ft = 120,000 ft² Area of the right triangle = (600 ft * 450 ft)/2 = 270,000 / 2 = 135,000 ft² Total area = 120,000 ft² + 135,000 ft² = 260,000 ft² Area of the house = 45 ft * 38 ft = 1,710 ft² Area of the woods = 118 ft * 60 ft = 7,080 ft² Area of the front yard = 78 ft * 40 ft = 3,120 ft² Area of farmed land = 260,000 - 1,710 - 7,080 - 3,120 = 248,090 ft² 248,090 ft² * 1acre/43,560 ft² = 5.695 acres
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