9514 1404 393
Answer:
18 sheep
Step-by-step explanation:
The triangle cut from the upper right corner has a height of 200-100=100 m and a width of 200-120=80 m. Its area is given by the triangle area formula ...
A = 1/2bh
A = 1/2(80 m)(100 m) = 4000 m²
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The area of the square that includes that triangle is ...
A = LW
A = (200 m)(200 m) = 40000 m²
So, the area of the field where the farmer can keep sheep is ...
field area = 40000 m² -4000 m² = 36000 m²
At 2000 m² per sheep, the field will support ...
(36000 m²)/(2000 m²/sheep) = 18 sheep
