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Airida [17]
3 years ago
5

The length of a rectangle is 5 feet more than twice the width. The perimeter is 28 feet. Find the length and width

Mathematics
1 answer:
Eduardwww [97]3 years ago
7 0

Answer:

Width = 3 feet

Length = 11 feet

Step-by-step explanation:

Let the width be x feet.

Length = 2x + 5

Perimeter = 28 feet

2 * ( length + width ) = 28

        2 * (2x + 5 + x)  = 28

                      3x + 5  = 28/2 = 14

                              3x = 14 - 5 = 9

                                 x = 9/3

                                  x = 3

Width = 3 feet

Length = 2*3 + 5 = 6 + 5 = 11 feet

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This problem can be solved by applying Pythagoras theorem, since the segment AB is tangent to the circle(meaning that the point A is at 90 degree to the circle)

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given (as seen from the diagram)

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