Area of a Rhombus: Extended distributive law

Verifying whether or not the formula is applicableCalculation using percentagesFinding Area based off Perimeter and Vice VersaUsing Pythagoras' theoremUsing variablesUsing ratios for calculationApplying the formulaCalculate The Missing Side based on the formula
Question 1

Look at the figure below.

The area of the rhombus is 168 cm².

Calculate a.

S=168S=168S=168121212a+4a+4a+4

Question 2

A rhombus is shown in the figure below.

Its area is equal to 6 cm².

The length of the main diagonal is 4 cm.

Find X.

S=6S=6S=64442X+12X+12X+12X+12X+12X+1

Question 3

Look at the rhombus in the figure.

Its area is 240 cm².

Calculate a.

S=240S=240S=240101010101010a+4a+4a+4a+4a+4a+4

Examples with solutions for Area of a Rhombus: Extended distributive law

Exercise #1

Look at the figure below.

The area of the rhombus is 168 cm².

Calculate a.

S=168S=168S=168121212a+4a+4a+4

Video Solution

Answer

10 cm

Exercise #2

A rhombus is shown in the figure below.

Its area is equal to 6 cm².

The length of the main diagonal is 4 cm.

Find X.

S=6S=6S=64442X+12X+12X+12X+12X+12X+1

Video Solution

Answer

14 \frac{1}{4} cm

Exercise #3

Look at the rhombus in the figure.

Its area is 240 cm².

Calculate a.

S=240S=240S=240101010101010a+4a+4a+4a+4a+4a+4

Video Solution

Answer

8 cm