This math topic focuses on calculating the area of rectangles that surround right triangles. It introduces the concept of transitioning from understanding the area of a rectangle to applying those principles to the area of a triangle. Each problem presents an image of a rectangle encapsulating a triangle, and learners are tasked to compute the area of the rectangle. Multiple-choice answers are provided for each question, reinforcing the practical application of the formula for the area of a rectangle in various contexts and units (cm, m, in). This is part of a broader introduction to understanding triangle areas.

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

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Area of a Right Triangle - Concept Intro - From Rectangle to Rectangle Area Worksheet

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Area of a Right Triangle - Concept Intro - From Rectangle to Rectangle Area
1
An svg image showing a math problem
Find the area of the RECTANGLE around the triangle
a A LaTex expression showing 11\text{cm} to the power of 2
b A LaTex expression showing 30\text{cm} to the power of 2
c A LaTex expression showing 22\text{cm} to the power of 2
d A LaTex expression showing 60\text{cm} to the power of 2
e A LaTex expression showing 12\text{cm} to the power of 2
2
An svg image showing a math problem
Find the area of the RECTANGLE around the triangle
a A LaTex expression showing 9\text{ft} to the power of 2
b A LaTex expression showing 6\text{ft} to the power of 2
c A LaTex expression showing 25\text{ft} to the power of 2
3
An svg image showing a math problem
Find the area of the RECTANGLE around the triangle
a A LaTex expression showing 10\text{ft} to the power of 2
b A LaTex expression showing 16\text{ft} to the power of 2
c A LaTex expression showing 15\text{ft} to the power of 2
4
An svg image showing a math problem
Find the area of the RECTANGLE around the triangle
a A LaTex expression showing 40\text{cm} to the power of 2
b A LaTex expression showing 18\text{cm} to the power of 2
c A LaTex expression showing 9\text{cm} to the power of 2
d A LaTex expression showing 12\text{cm} to the power of 2
5
An svg image showing a math problem
Find the area of the RECTANGLE around the triangle
a A LaTex expression showing 63\text{in} to the power of 2
b A LaTex expression showing 10\text{in} to the power of 2
c A LaTex expression showing 11\text{in} to the power of 2
d A LaTex expression showing 30\text{in} to the power of 2
6
An svg image showing a math problem
Find the area of the RECTANGLE around the triangle
a A LaTex expression showing 6\text{m} to the power of 2
b A LaTex expression showing 28\text{m} to the power of 2
c A LaTex expression showing 49\text{m} to the power of 2
d A LaTex expression showing 15\text{m} to the power of 2
e A LaTex expression showing 45\text{m} to the power of 2
7
An svg image showing a math problem
Find the area of the RECTANGLE around the triangle
a A LaTex expression showing 24\text{ft} to the power of 2
b A LaTex expression showing 36\text{ft} to the power of 2
c A LaTex expression showing 12\text{ft} to the power of 2
8
An svg image showing a math problem
Find the area of the RECTANGLE around the triangle
a A LaTex expression showing 30\text{km} to the power of 2
b A LaTex expression showing 11\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 10\text{km} to the power of 2