Lesson: Area of a Rhombus Mathematics

In this lesson, we will learn how to find the area of a rhombus using the length of its diagonals.

Lesson Plan

Students will be able to

derive the formula for finding the area of a rhombus given the lengths of its diagonals,
find the area of a rhombus given its diagonals,
find unknown lengths of a rhombus using the formula for finding its area given the lengths of its diagonals,
find the area of a square in terms of its diagonal,
solve problems involving finding the area of both a square and rhombus using their diagonals.

Lesson Explainer

Lesson Worksheet

Q1:

The height of a rhombus is 4.1 cm, its base length is 6.6 cm, and the length of one of its diagonals is 4.3 cm. Find, to the nearest tenth, the length of the other diagonal.

Q2:

The figure shows a rhombus within a rectangle. Find the area of the rhombus to two decimal places.

Q3:

Determine the difference in area between a square having a diagonal of 10 cm and a rhombus having diagonals of 2 cm and 12 cm.