A cow is tied on a 50-foot rope to the corner of a 20-ft by 50-ft rectangular building. The cow can graze on any of the grass it can reach. What is the area on which the cow can graze?
3 answers
120 is the answer. what grade r u in?Im in 8th helping my sis she is in 5th.
How did you get 120?
Draw a diagram of the building. The rope is attached at one corner. The cow can graze
a 3/4 circle of radius 50, where the 20-ft side of the building and the the closest 50-ft side of the building are two perpendicular radii.
When the cow reaches the far side of the building, 20 ft of rope lie along the short side of the barn, leaving her with only 30 ft of rope for the last 1/4 circle of grazing.
So, the total area she can graze is
3/4 * 2500π + 1/4 * 900π = 2100π ft^2
Draw a diagram of the building. The rope is attached at one corner. The cow can graze
a 3/4 circle of radius 50, where the 20-ft side of the building and the the closest 50-ft side of the building are two perpendicular radii.
When the cow reaches the far side of the building, 20 ft of rope lie along the short side of the barn, leaving her with only 30 ft of rope for the last 1/4 circle of grazing.
So, the total area she can graze is
3/4 * 2500π + 1/4 * 900π = 2100π ft^2
I used math but I don't feel like explaining it 😝
1 answer