Primary 6 · Area · Question type 9.3

P6 Area: Area of Folded Paper

A fold moves one equal-sized flap, so subtract one flap from the original outline for each fold.

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Primary 6, on the MOE Primary Mathematics syllabus.

In the Area chapter4 question types · see the chapter

The lesson · 3 minutes 37 seconds

How do you find the area of folded paper in P6?

Watch: a 26 cm by 8 cm strip with 6 cm of one end folded over

Another worked example

A worked example

A strip of paper for a class banner measures 28 cm by 9 cm. A quarter of its length is folded over so that it lies flat on the rest of the strip. Find the area of the shape that can now be seen from above.

The working · Four lines

The step-by-step working

Written out in full, the way it should appear on paper.

length folded over = 1/4 × 28 = 7 cm
area of the strip = 28 × 9 = 252 cm²
area of the flap = 7 × 9 = 63 cm²
area seen from above = 252 - 63 = 189 cm²

The answer is 189 cm².

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Recover the original sheet's area

Use the visible folded shape to find the area of the rectangular sheet before folding.

A rectangular sheet of paper is folded once so that one end lies flat on top of the rest. The shape that can be seen after folding measures 22 cm by 6 cm, and the flap lying on top of it measures 5 cm by 6 cm. Find the area of the sheet before it was folded.

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area seen after folding = 22 x 6 = 132
area of the flap lying on top = 5 x 6 = 30
area before folding = 132 + 30 = 162

Ans: 162 cm²

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