We cut out squares(white) of side 10 cm from a square of side 40 cm. Match the new shapes to their perimeters.
A
160 cm
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B
200 cm
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C
180 cm
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Solution
The perimeter of the square of side 40 cm is 4×40 cm=160 cm.
We know that the perimeter of the shape got when a square is cut out from all four corners of a larger square is equal to the perimeter of the larger square.
∴ Perimeter of the above shape is 160 cm.
The perimeter of the shape on the right in the above image is
40 cm+40 cm+40 cm+20 cm+10 cm+10 cm+10 cm+10 cm =180 cm.
The perimeter of the shape on the right in the above image is
40 cm+40 cm+20 cm+20 cm+10 cm+10 cm+10 cm+10 cm+10 cm+10 cm+10 cm+10 cm =200 cm.