Examples with solutions for Perimeter of a Trapezoid: Using variables

Exercise #1

Shown below is an isosceles trapezoid.

Calculate its perimeter using x and/or y.

XXX3X3X3X4Y4Y4Y2Y2Y2Y

Video Solution

Answer

13X

Exercise #2

A trapezoid is shown below:

101010X+1X+1X+16+X6+X6+XXXXIf the perimeter of the trapezoid is 26, then what is the value of X?

Video Solution

Answer

3

Exercise #3

Find the perimeter of the trapezoid

XXX2X2X2X2X+32X+32X+35X-35X-35X-3AAABBBCCCDDD

Video Solution

Answer

10x 10x

Exercise #4

The perimeter of the trapezoid ABCD is equal to 78 cm. Calculate X.

XXX2X2X2XX+3X+3X+34X-84X-84X-8AAABBBCCCDDD

Video Solution

Answer

x=838 x=\frac{83}{8}

Exercise #5

The trapezoid ABCD is isosceles.

AB = 5

CD = 10

AC = X

Calculate the perimeter of the trapezoid.

555101010XXXAAABBBDDDCCC

Video Solution

Answer

15+2x 15+2x

Exercise #6

Express the perimeter of the following trapezoid:

3X+13X+13X+13X-13X-13X-12X+32X+32X+32X2X2XAAABBBDDDCCC

Video Solution

Answer

10x+3 10x+3

Exercise #7

AC = 5

AB = 7

CD = X

Calculate the perimeter of the trapezoid below.

777555555777AAABBBDDDCCCEEEX-7

Video Solution

Answer

12+x+x214x+74 12+x+\sqrt{x^2-14x+74}