Examples with solutions for Area of a Trapezoid: Using variables

Exercise #1

Calculate X according to the data in the figure:

S=60S=60S=60888141414555XXX

Video Solution

Answer

2

Exercise #2

The trapezoid ABCD is shown below.

AB = AD

DC is twice as long as AB.

The area of the trapezoid is three times more than the length of AB.

How long is side AB?

AAABBBCCCDDD

Video Solution

Answer

2

Exercise #3

Look at the trapezoid ABCD below.

Length of side AB = a

Side DC is 3 cm longer than AB.

Height (h) = 12 \frac{1}{2} cm

Calculate the length of side AB, given that the area of the trapezoid is 2a cm².

aaaAAABBBCCCDDD

Video Solution

Answer

12 \frac{1}{2}

Exercise #4

Shown below is the trapezoid ABCD.

Given in cm:

AB = 5

DC = 3

Height = h

Calculate the area of the trapezoid.

555333hhhAAABBBCCCDDD

Video Solution

Answer

4h 4h

Exercise #5

Express the area of the trapezoid by X

X+14X+14X+143X+73X+73X+72X2X2X

Video Solution

Answer

4x2+21x 4x^2+21x

Exercise #6

Calculate X according to the data in the figure:

S=30S=30S=30XXX3.53.53.57.57.57.5

Video Solution

Answer

3

Exercise #7

The area of the trapezoid in the diagram is 9x 9x cm².

Calculate AE.

2X2X2X2.5X2.5X2.5XAAABBBCCCDDDEEE

Video Solution

Answer

4 4 cm

Exercise #8

Calculate the area of the trapezoid in the diagram.

2X2X2X3Y3Y3YXXX

Video Solution

Answer

x2+1.5xy x^2+1.5xy cm².

Exercise #9

The area of the trapezoid in the diagram is 78 cm².

Calculate X.

X+10X+10X+1012X-1012X-1012X-10666

Video Solution

Answer

2 2

Exercise #10

The area of the trapezoid in the diagram is 14.4 cm².

Calculate X.

1.7X1.7X1.7XXXX1.5X1.5X1.5X

Video Solution

Answer

3 3 cm