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Andrews [41]
3 years ago
12

The perimeter of a quadrilateral​ (four-sided polygon) is 41 inches. The longest side is twice as long as the shortest side. The

other two sides are equally long and are 3 inches longer than the shortest side. Find the length of all four sides.
Mathematics
1 answer:
zhenek [66]3 years ago
6 0

Answer:

The length of all four sides of a quadrilateral are 7 inches, 14 inches, 10 inches, 10 inches

Step-by-step explanation:

Let the shortest side be x

As per given information longest side = 2x

and other 2 sides are equal in length but 3 more times that shortest side = 3+x

Perimeter of Quadrilateral = 41 inches given

But perimeter of quadrilateral = sum of all sides

x+2x+x+3+x+3=41\\5x+6 =41\\5x= 41-6\\5x=35\\x = \frac{35}{5}=7

Shortest side = 7\ in

Longest side = 2x= 2\times 7= 14 \ in

Other 2 sides = 3+x=3+7 = 10 \ in

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