Explain how to make different shapes with the same area | Exit Quiz | Oak National Academy

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

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

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

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

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

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.