Topics
10 Length, area, and volume
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AustraliaNSW
Stage 4

10.04 Area of triangles

Lesson
Worksheet
Practice

Interactive practice questions

Use the picture to answer the following questions about the area of the rectangle and the triangle.

A rectangle with length labeled as 8m and width labeled as 5m is shown. Tick marks are drawn to indicate that the two pairs of opposing sides of the rectangle are equal in length. Inside the rectangle, a right-angled triangle is shaded in green. The triangle shares two sides with the rectangle: one side with the length and one side with the width. The hypotenuse of the triangle cuts across the rectangle from the top left corner to the bottom right corner. The sides of the triangle are equal in length to the sides of the rectangle they coincide with. The right angle of the triangle is at the bottom left corner of the rectangle. 

 

a

Firstly, find the area of the entire rectangle.

b

Now find the area of the triangle.

Area of triangle $=$= $\frac{1}{2}$12​ $\times$× area of rectangle  m2  
Area of triangle $=$= $\frac{1}{2}\times\editable{}$12​× m2 (Fill in the value for the area of the rectangle)
Area of triangle $=$= $\editable{}$ m2 (Complete the multiplication)
Easy
1min

Use the picture to answer the following questions about the area of the rectangle and the triangle.

Easy
< 1min

Use the picture to answer the following questions about the area of the rectangle and the triangle.

Easy
< 1min

Use the picture to answer the following questions about the area of the rectangle and the triangle.

Medium
< 1min
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Outcomes

MA4-13MG

uses formulas to calculate the areas of quadrilaterals and circles, and converts between units of area

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