Examples with solutions for Perimeter of a Trapezoid: Calculate The Missing Side based on the formula

Exercise #1

The perimeter of the trapezoid in the diagram is 25 cm. Calculate the missing side.

777444111111

Video Solution

Step-by-Step Solution

We replace the data in the formula to find the perimeter:

25=4+7+11+x 25=4+7+11+x

25=22+x 25=22+x

2522=x 25-22=x

3=x 3=x

Answer

3 3 cm

Exercise #2

The perimeter of the trapezoid below is 30 cm. Calculate the length of the missing side.

888444121212

Video Solution

Answer

6 cm

Exercise #3

What is the length of side AD given that the perimeter of the trapezoid is equal to 42 cm?

141414777121212DDDAAABBBCCC

Video Solution

Answer

9

Exercise #4

Below is an isosceles trapezoid with a perimeter of 4X+2Y.

Calculate the lengths of the missing sides.

XXX3X3X3X

Video Solution

Answer

Y

Exercise #5

Given an isosceles trapezoid whose perimeter 3X

Find the length of the short base

121212

Video Solution

Answer

213x12 2\frac{1}{3}x-12

Exercise #6

Calculate the length of the second base given that the perimeter of the trapezoid in the drawing is 300% of the length of the base.

888171717121212

Video Solution

Answer

14

Exercise #7

The area of the isosceles trapezoid below is 43 cm².

How long are the missing sides?

131313242424

Video Solution

Answer

3 3 cm

Exercise #8

The perimeter of a trapezoid is 3 times the length of its long base. Work out the length of the missing side.

141414111111171717

Video Solution

Answer

9

Exercise #9

The perimeter of the trapezoid in the drawing is 34 cm. What is the length of the missing base?

121212141414101010

Video Solution

Answer

This trapeze is not possible.