Remember: Cut a shape into rectangles and triangles. Add the areas of the pieces.
Bigger shapes, more thinking
1
The L-shape is cut by an up and down line. What is the area of the left piece in square units?
2
What is the area of the right piece in square units?
3
Cut the same L-shape across instead. The pieces are 27 and 16 square units, and the whole shape is still 43 square units.
TrueFalse
4
This triangle has a base of 8 and a height of 5. What is its area in square units?
5
The house is a rectangle 8 wide and 4 tall with a triangle roof of base 8 and height 3. Which expression gives its area?
8 × 78 × 4 + 8 × 38 × 4 + ½ × 8 × 3
6
What is the area of the house in square units?
7
The shape is cut by the up and down line into a rectangle and a triangle. What is its area in square units?
8
A 6 by 5 rectangle is cut along its diagonal into two triangles. Each triangle has an area of 30 square units.
TrueFalse
9
The steps are cut into three rectangles by the two up and down lines. What is the area of the steps in square units?
10
Join each pair of pieces to the area of the shape they make, in square units.
1rectangle 7 by 4 and triangle with base 7, height 4
2rectangle 5 by 5 and triangle with base 5, height 2
3two triangles, each with base 6 and height 4
4rectangle 9 by 2 and rectangle 3 by 3
A30
B24
C27
D42
11
Circle every way that finds the area of the big L-shape in square units.
28 + 159 × 727 + 1663 − 204 × 7 + 9 × 3
12
Number the steps to find the area of a house made from a rectangle and a triangle roof.
Take half of base times height for the roof
Multiply wide times tall for the wall
Add the wall and the roof
Draw a line where the roof meets the wall
13
Pip says a triangle with a base of 6 and a height of 5 has an area of 30 square units. Write how you know Pip is wrong, and what the area is.
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