A farmer needs to fence a rectangular piece of land. She wants the length of the field to be 55 feet longer than the width. If she has 1310 feet of fencing material, what should be the length and the width of the field?

Call the width ' W '. Then the length is W + 55
Perimeter (distance all around) = W + (W+55) + W + (W+55) = 4W + 110
4W + 110 = 1,310
4W = 1,200
W = 300-ft
Length = W + 55 = 355-ft

Answered by AL2006 | 2024-06-10

The width of the field should be 300 feet, and the length should be 355 feet. This was found by setting up the equations based on the given perimeter and the relationship between the length and width. The perimeter of the rectangle is equal to the available fencing material, which allowed us to derive these dimensions.
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Answered by AL2006 | 2024-10-24