Perimeter of a Trapezoid: Calculate The Missing Side based on the formula

Finding Area based off Perimeter and Vice VersaUsing variablesComparison between 2 of the same shape with an identical perimeterApplying the formula
Question 1

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

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Question 2

Calculate X in the trapezoid below.

Perimeter = P

131313121212555xxxp=36

Question 3

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

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Question 4

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

141414777121212DDDAAABBBCCC

Question 5

Given an isosceles trapezoid whose perimeter 3X

Find the length of the short base

121212

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.

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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

25−22=x 25-22=x

3=x 3=x

Answer

3 3 cm

Exercise #2

Calculate X in the trapezoid below.

Perimeter = P

131313121212555xxxp=36

Step-by-Step Solution

To solve this problem, we'll utilize the formula for the perimeter of a trapezoid.

The formula for the perimeter is given by:

  • P=a+b+c+d P = a + b + c + d

From the problem, we know:

  • The perimeter P P is 36.
  • The side lengths are 13, 12, and 5, with the unknown side as x x .

Plug these into the formula:

36=13+12+5+x 36 = 13 + 12 + 5 + x

Combine the known side lengths:

36=30+x 36 = 30 + x

To isolate x x , subtract 30 from both sides:

x=36−30 x = 36 - 30

Calculate the result:

x=6 x = 6

Therefore, the length of the missing side x x is 6.

Thus, the correct answer is choice 2, corresponding to x=6 x = 6 .

Answer

6

Exercise #3

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

888444121212

Video Solution

Answer

6 cm

Exercise #4

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 #5

Given an isosceles trapezoid whose perimeter 3X

Find the length of the short base

121212

Video Solution

Answer

213x−12 2\frac{1}{3}x-12

Question 1

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

Calculate the lengths of the missing sides.

XXX3X3X3X

Question 2

The area of the isosceles trapezoid below is 43 cm².

How long are the missing sides?

131313242424

Question 3

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

121212141414101010

Question 4

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

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Question 5

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.

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Exercise #6

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

Calculate the lengths of the missing sides.

XXX3X3X3X

Video Solution

Answer

Y

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 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.

Exercise #9

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 #10

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