Examples with solutions for Area of a Rhombus: Using ratios for calculation

Exercise #1

Given the rhombus in the figure

Given that the ratio of the height side to the same height side is

is 9:412 9:4\frac{1}{2}

Find the area of the rhombus

999

Video Solution

Answer

162 cm².

Exercise #2

Look at the rhombus in the figure.

Find the area of the rhombus given that the ratio between the main diagonal and the secondary diagonal is 9:2.

444

Video Solution

Answer

36 36 cm².

Exercise #3

Given the rhombus in the figure

Given the ratio between the side of the external height and the side is 7:3

Calculate the area of the rhombus

111111

Video Solution

Answer

5167 51\frac{6}{7} cm².

Exercise #4

A rhombus has an area of 70 cm².

Work out the ratio between the main diagonal and the secondary diagonal.

S=70S=70S=70555

Video Solution

Answer

28:5

Exercise #5

Given the parallelogram AEFD and the rhombus EBCF

EC=4 BF=5

Given the ratio of the area of the parallelogram AEFD to the area of the rhombus is 7:2

Find the area of the parallelogram ABCD (the parallelogram composed of the two shapes).

444555AAABBBCCCDDDFFFEEE

Video Solution

Answer

45 45 cm².