Examples with solutions for Area of a Rhombus: Using variables

Exercise #1

Look at the rhombus in the figure.

The area of the rhombus is 85 cm².

Calculate X.

S=85S=85S=855X5X5X8.58.58.5

Video Solution

Answer

2 cm

Exercise #2

Look at the rhombus in the figure.

The area of the rhombus is 32x2 32x^2 .

Express the length of the main diagonal in the rhombus in terms of X.

3X3X3X

Video Solution

Answer

2113x 21\frac{1}{3}x

Exercise #3

Look at the rhombus in the figure.

Calculate its area in terms of X.

P=20XP=20XP=20XX+3X+3X+3

Video Solution

Answer

5x2+15x 5x^2+15x

Exercise #4

Look at the rhombus in the figure.

P=4X+20 P=4X+20

The area of the rhombus can be represented by the expression:11X+55 11X+55

Work out the height of the side.

S=11X+55S=11X+55S=11X+55

Video Solution

Answer

11 11 cm