A Farmer's pasture - Math Central

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Question from Jennifer, a parent:

A Farmer's pasture measures 100 feet by 108 feet. Each cow needs 4 square yards of pasture to have enough grass.
How many Cows should the farmer put in this pasture?
If he builds a fence around the pasture 5 feet inside the edge, how much fencing would he need?
Does this change the number of cows that can be kept in the pasture?
If so, why ?

PLease help me

Hi Jennifer,

The pasture has an area of 100 × 108 = 10,800 square feet. Each cow needs 4 square yards of pasture and there are 3 feet in a yard so 4 yards² = 4 (3 feet)² = 4 × 3² feet² = 36 square feet. How many 36 square feet regions are there in 10,800 square feet?

Draw a diagram for the next part.

pasture

The brown fence is 5 feet inside the boundaries on each side and gives a new pasture area that is L feet long by W feet wide. How long is L? How long is W? What is the area L × W of the smaller pasture? How many 36 square feet regions are there in this smaller pasture?

Penny

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