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How much fence will be needed to enclose a rectangular field that is 20 meters long and 100 meters wide?; How many meters of fencing is required to enclose a rectangular vegetable garden 15 Metres long and 5 meters wide Metres?; What is the maximum area of a rectangular garden?; How many meters of rope will be needed to fence a rectangular lot 150 meters long and 97 meters wide?

Answer :

Using the perimeter formula, fence needed to enclose a rectangular field is 240 m, to enclose a rectangular vegetable garden is 40 m, rope needed to fence a rectangular lot is 494 m. The area of the vegetable garden is 75 m^2.

The length of fence/rope that will be needed to enclose the rectangular field or a rectangular vegetable garden can be determined by calculating the perimeter of the rectangle.

Perimeter of the rectangle (P) = 2(Length + Width)

Fence needed to enclose a rectangular field when L = 20 m and W = 100 m

P = 2(20 + 100) = 2(120) = 240 m

Fence needed to enclose a rectangular vegetable garden when L = 15 m and W = 5 m

P = 2(15 + 5) = 2(20) = 40 m

Area of the rectangle = L x W = 15 x 5 = 75 m^2

Rope needed to enclose a rectangular lot when L = 150 m and W = 97 m

P = 2(150 + 97) = 2(247) = 494 m

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