The perimeter of the quadrilateral -104 cm. The length of the first side is 12 cm

| February 4, 2021 | education

The perimeter of the quadrilateral -104 cm. The length of the first side is 12 cm longer than the length of the third side. Which is 10 cm longer than the length of the second side. The length of the fourth side is 10 cm longer than the first side. Find the lengths of the sides of the quadrangle.

1. Let the length of the third side of the quadrangle be x cm, then the length of the first side is 12 + x, the length of the second side is x – 10, the length of the fourth side is 12 + x + 10 = 22 + x. And all together make up the length of the perimeter 104 cm.Let’s make an equation, we find x:
x + 12 + x + x – 10 + 22 + x = 104,
4x + 24 = 104,
4x = 104 – 24,
x = 80/4,
x = 20.
2. Find the lengths 1, 2 and 4 of the sides of the quadrangle:
1 side = 12 + 20 = 32 cm.
2 side = 20 – 10 = 10 cm.
4 side = 22 + 20 = 42 cm.
Answer: the length of the first side is 32 cm, the second side is 10 cm, the length of the third side is 20 cm, and the fourth side is 42 cm.



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