Rectangle
What is the formula for the area of a rectangle?
Area = base × height
What is the formula for the area of a triangle?
Area = (base × height) ÷ 2
What is a trapezoid?
A shape with one pair of parallel sides
The length of a rectangle with an area of 36 cm² and a width of 4 cm.
9 cm
Name a real-world object shaped like a rectangle.
Examples: book, door, TV
Find the area: base = 6 cm, height = 3 cm
6 × 3 = 18 cm²
Find the area: base = 8 cm, height = 4 cm
8 × 4 ÷ 2 = 16 cm²
Label base1, base2, and height on a trapezoid diagram.
b1 = top, b2 = bottom, height = vertical side
The length of a square with an area of 64 m².
8 m
How are the triangle and trapezoid formulas similar?
Both use base and height, the triangle is divided by 2
True or False: The area of a rectangle is b x h / 2
False. That’s the triangle formula.
The area of a triangle with a base of 10 km and a height of 4 km.
20 km²
Find the area: b1 = 5 cm, b2 = 7 cm, h = 4 cm
(5 + 7) × 4 ÷ 2 = 24 cm²
The height of a triangle with a base of 12 cm and an area of 48 cm².
8 cm
Which shape has the largest area if height is the same: triangle, rectangle, or trapezoid?
Rectangle > Trapezoid > Triangle (if same height)
Draw and label a rectangle with an area of 32 cm².
Example: 4 × 8 = 32 cm²
Explain why we divide by 2 in the triangle area formula.
Because a triangle is half of a rectangle
The area of a trapezoid with a base of 4 cm and 10 cm and a height of 5 cm.
The answer is 35 cm².
The base of a triangle with an area of 240 cm² and a height of 60 cm.
8 cm
A playground is made up of a rectangle and triangle. How do you find the total area?
Add areas of each shape: rectangle + triangle
Word problem: A patio is 9 m long and 4 m wide. What is its area?
9 × 4 = 36 m²
Word problem: A sail has a base of 6 m and height of 10 m. What is the area?
6 × 10 ÷ 2 = 30 m²
Word problem: A trapezoid has b1 = 6 m, b2 = 10 m, height = 5 m. Find the area.
(6 + 10) × 5 ÷ 2 = 40 m²
The area of a trapezoid is 42 cm². One base is 8 cm, the height is 3 cm, but the other base is missing.
What is the length of the missing base?
✅ Answer: The missing base is 20 cm.
Design a space using all 3 shapes and find the total area.
Rectangle + Triangle + Trapezoid (add all areas)