One side of the quadrangle is 18 cm, the second side is 2 times smaller than the first, and the third is 5 cm

| January 30, 2021 | education

One side of the quadrangle is 18 cm, the second side is 2 times smaller than the first, and the third is 5 cm larger than the second and 6 cm smaller than the fourth. Calculate the perimeter of the quadrilateral.

We need to calculate the perimeter of the quadrilateral.

We know that the perimeter of any shape is found as the sum of the lengths of all its sides. Let we denote the lengths of the considered quadrilateral as x1, x2, x3 and x4, respectively. Then the perimeter will be calculated as:

P = x1 + x2 + x3 + x4

We know that the length of the 1st side is:

x1 = 18 cm

The length of the 2nd side is 2 times less than the 1st:

x2 = x1 / 2 = 18/2 = 9 cm

The length of the 3rd is 5 cm longer than the 2nd:

x3 = x2 + 5 = 9 + 5 = 14 cm

And the length of the 4th is 6 cm longer than the 3rd:

x4 = x3 + 6 = 14 + 6 = 20 cm

Then P = 18 + 9 + 14 + 20 = 61 cm



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