Area Exercises

Given a parallelogram with an area of 54 units², what is the length of the base if the height is 9 units?

Hint

As always, the area of a parallelogram is A = bh.

Given a parallelogram with an area of 3.6 in², find the height if the base is 8 inches long.

Hint

To find the area, it's base-ically all about the height.

Find the areas of the parallelograms below, which are mirror images of each other.

Hint

Find the base of one parallelogram before solving for area.

Calculate the area of a rhombus with a side length of 7 units and a height of 14 units.

Hint

A rhombus is just a type of parallelogram, isn't it?

What is the area of the rhombus?

Hint

First, we should know that diagonals of a rhombus bisect each other. Then, we can use the Pythagorean Theorem.

What's the area of this rhombus?

Hint

We have a 30-60-90 triangle, so we can use it to find the base and height.

What's the area of the shaded rhombus below?

Hint

Use what you know about isosceles triangles and the Pythagorean Theorem to find the height.