The rectangle shown has a perimeter of 86 cm and the given area. Its length is 7 more than five times its width. Write and

Mathematics

1 answer:

Sati [7]3 years ago

3 0

Answer: the length of the rectangle is 37ft

the width of the rectangle is 6 ft

Step-by-step explanation:

Let L represent the length of the rectangle.

Let W represent the width of the rectangle.

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The perimeter of the given rectangle is 86 feet. This means that

2(L + W) = 86

Dividing through by 2, it becomes

L + W = 43 - - - - - - - - - - - -1

Its length is 7 more than five times its width.. This means that

L = 5W + 7

Substituting L = 5W + 7 into equation 1, it becomes

5W + 7 + W = 43

6W + 7 = 43

6W = 43 - 7

6W = 36

W = 36/6

W = 6

L = 5W + 7 = 5 × 6 + 7

L = 37

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