Area of a Trapezoid - Equivalent Rectangle Area

Level 2

This math topic focuses on calculating the area of a trapezoid by relating it to the area of an equivalent rectangle. The problems are formulated to help understand the concept of finding areas, specifically converting the problem of a trapezoid into that of a rectangle which often involves using the trapezoid area formula indirectly or picturing the trapezoid as part of a rectangle. The questions vary in complexity, and some provide multiple-choice answers that include visual representations in units such as kilometers, meters, centimeters, and inches squared.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Area of a Trapezoid - Equivalent Rectangle Area Worksheet

Area of a Trapezoid - Equivalent Rectangle Area

What is the area of the equivalent rectangle?

An svg image showing a math problem

a $A LaTex expression showing 147.3\text{m} to the power of 2$

b $A LaTex expression showing 81\text{m} to the power of 2$

c $A LaTex expression showing 36\text{m} to the power of 2$

d $A LaTex expression showing 58.5\text{m} to the power of 2$

An svg image showing a math problem

What is the area of the equivalent rectangle?

a $A LaTex expression showing 15\text{cm} to the power of 2$

b $A LaTex expression showing 10\text{cm} to the power of 2$

c $A LaTex expression showing 10.5\text{cm} to the power of 2$

d $A LaTex expression showing 27\text{cm} to the power of 2$

e $A LaTex expression showing 20\text{cm} to the power of 2$

An svg image showing a math problem

What is the area of the equivalent rectangle?

a $A LaTex expression showing 58.5\text{ft} to the power of 2$

b $A LaTex expression showing 81\text{ft} to the power of 2$

c $A LaTex expression showing 180\text{ft} to the power of 2$

d $A LaTex expression showing 147.3\text{ft} to the power of 2$

e $A LaTex expression showing 167\text{ft} to the power of 2$

An svg image showing a math problem

What is the area of the equivalent rectangle?

a $A LaTex expression showing 38.5\text{km} to the power of 2$

b $A LaTex expression showing 28\text{km} to the power of 2$

c $A LaTex expression showing 48\text{km} to the power of 2$

d $A LaTex expression showing 49\text{km} to the power of 2$

An svg image showing a math problem

What is the area of the equivalent rectangle?

a $A LaTex expression showing 130\text{cm} to the power of 2$

b $A LaTex expression showing 66\text{cm} to the power of 2$

c $A LaTex expression showing 30\text{cm} to the power of 2$

d $A LaTex expression showing 42.5\text{cm} to the power of 2$

An svg image showing a math problem

What is the area of the equivalent rectangle?

a $A LaTex expression showing 31.5\text{km} to the power of 2$

b $A LaTex expression showing 18\text{km} to the power of 2$

c $A LaTex expression showing 40\text{km} to the power of 2$

d $A LaTex expression showing 57.3\text{km} to the power of 2$

e $A LaTex expression showing 21\text{km} to the power of 2$

An svg image showing a math problem

What is the area of the equivalent rectangle?

a $A LaTex expression showing 52.5\text{cm} to the power of 2$

b $A LaTex expression showing 42\text{cm} to the power of 2$

c $A LaTex expression showing 54\text{cm} to the power of 2$

An svg image showing a math problem

What is the area of the equivalent rectangle?

a $A LaTex expression showing 28\text{km} to the power of 2$

b $A LaTex expression showing 16\text{km} to the power of 2$

c $A LaTex expression showing 22\text{km} to the power of 2$

d $A LaTex expression showing 61\text{km} to the power of 2$