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a rectangular pasture has a perimeter of 1200 feet. the pasture's length is 200 feet more than its width. what is the area of the pasture?

Sagot :

The area of the rectangular pasture is found to be 80,000 ft².

Explain the term Rectangle?

  • A rectangular is a flat, two-dimensional object with four sides.
  • A rectangle has two opposite sides that are parallel to one another and have the same length.
  • A rectangle with the dimensions l and w has an area of l w. The rectangle's perimeter is 2(l + w).

Given:

  • A rectangular pasture does have a 1200 foot circumference.
  • The width of the meadow is 200 feet wider than its length.

Let the pasture's rectangular length be l feet.

Given that the rectangular pasture's length being 200 feet longer than its breadth, its width must be w = l200 feet.

The pasture's boundary is;

2(l + w) = 1200

2(l + l - 200) = 1200

2l - 200 = 600

l = 400 feet

Width; w = l - 200

w = 400 - 200 = 200 feet

Rectangular area;

A = l x w

A = 400 x 200

A = 80,000 ft²

Thus, the area of the rectangular pasture is found to be 80,000 ft².

To know more about the Rectangle, here

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