Explain how to make different shapes with the same area | Exit Quiz | Oak National Academy
Quiz
•
Mathematics
•
4th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Oak National Academy
FREE Resource
6 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Complete the definition: Rectilinear shapes are 2D polygons composed of one or more __________.
lines
rectangles
shapes
square units
squares
Answer explanation
You correctly defined 'rectilinear'.
Tags
CCSS.1.G.A.2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Look at Shape A and Shape B. Which of the following statements is true?
a has a greater area than b.
b has a greater area than a.
a and b have the same area.
a and b have unequal areas.
Answer explanation
They may look different, but these two rectilinear shapes both have an area of six square units.
Tags
CCSS.3.MD.C.5A
3.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
How can these shapes be made equal? Select all options that apply.
Remove a square unit from Shape A.
Add a square unit to Shape B.
Remove a square unit from Shape A and from Shape C.
Add two square units to Shape B.
Answer explanation
The shapes would then each have the same area - either four square units each or five square units each.
Tags
CCSS.2.MD.B.5
4.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
Tick all of the statements that are true about the two shapes shown in the image.
Each of the two shapes has been made by combining two pentominoes.
The two shapes have the same area as each other.
The two shapes have a different area to each other.
Each of the shapes has an area of ten square units.
If the two pentominoes in each shape were re-positioned, the area would change.
Answer explanation
These shapes have been made by combining pentominoes. They look different but have the same area.
Tags
CCSS.3.MD.C.6
5.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
Tick all of the statements that are true.
The two shapes have an equal area.
The two shapes have different areas.
If two more half-squares were added to b, the two shapes would be equal.
If a square unit was added to b, the two shapes would be equal.
If two square units were removed from a, the two shapes would be equal.
Answer explanation
These non-rectilinear shapes are not currently equal, but small changes can be made so that they are.
Tags
CCSS.3.MD.C.5A
6.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
Which of these combinations would combine to create a non-rectilinear shape with an area of 6 square units? Select all that apply.
4 full squares, 2 half-squares.
4 full squares, 4 half-squares.
5 full squares, 1 half-square.
5 full squares, 2 half-squares.
6 full squares.
Answer explanation
You were able to visualise non-rectilinear shapes with the same area as each other based on the shape descriptions.
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