In a rectangular trapezoid, the sides at the base are 2 cm and 5 cm

In a rectangular trapezoid, the sides at the base are 2 cm and 5 cm. Find the side of the trapezoid if the base, equal to 2 cm, is equal to its height, and the perimeter is 13 cm

The perimeter of a trapezoid is equal to the sum of all its sides:

P = a + b + c + d = 13 cm;

a = b = 2 cm;

s = 5 cm;

Find the unknown side d:

a + b + c + d = 13;

2 + 2 + 5 + d = 13;

9 + d = 13;

d = 13-9;

d = 4 cm – unknown lateral side of the trapezoid.