How to Find the Area of a Trapezoid and Rhombus

Area of a Trapezoid and Rhombus

Hi, and welcome this video lesson on special types of quadrilaterals. Today we’re going be talking about trapezoids and rhombuses. Now if you’re looking for something on a normal quadrilateral, go ahead check our video out entitled common quadrilaterals.

For now, let’s get started on defining some of these objects. A trapezoid is a quadrilateral where at least 1 pair of sides are parallel. The parallel sides are called the bases, and the other 2 remaining sides are called legs.

Finding the area of one of these can be a bit trickier than other objects. The most common used equation is the following: Area is equal to the 2 bases, divided by 2, times H, or the height.

A rhombus is a little bit different. It’s a parallelogram where all 4 sides are of equal length and opposite angles are equal. Most often, it is referred to as a diamond.

To find the area of a rhombus, you can multiply the imaginary perpendicular lines that travel in the middle of a rhombus and divide the result by 2. Like this: L times M, divided by 2 is equal to the area. I hope that helps. Thanks for watching this video lesson and until next time, happy studying.

Area of a Trapezoid and Rhombus Practice Questions

Question #1:

 
What is the area of this rhombus?
Rhombus with side lengths 7cm and height of 9cm

28 cm2
31.5 cm2
14.5 cm2
63 cm2
Question #2:

 
What is the area of this trapezoid?
Trapezoid with base lengths of 17ft and 21ft with height of 12ft

147 ft2
228 ft2
375 ft2
456 ft2
Question #3:

 
What is the area of this rhombus?
Rhombus with side lengths 11in and height of 8in

88 in2
44 in2
38 in2
79 in2
Question #4:

 
What is the area of this trapezoid?
Trapezoid with side lengths 4cm, 7cm, 8cm, and 11cm

39 cm2
30 cm2
25 cm2
36 cm2
Question #5:

 
What is the area of this rhombus?
Rhombus with side lengths of 21in and height of 15in

157 in2
259 in2
315 in2
427 in2

 

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by Mometrix Test Preparation | Last Updated: June 20, 2024