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Which of the following shapes has a perimeter of 12 cm? A - HSC - SSCE Mathematics Standard - Question 1 - 2019 - Paper 1

Question 1

Which of the following shapes has a perimeter of 12 cm? A. 2 cm 4 cm B. 4 cm 2 cm 3 cm C. 4 cm 4 cm D. 4 cm 1 cm 5 cm NOT TO S... show full transcript

Worked Solution & Example Answer:Which of the following shapes has a perimeter of 12 cm? A - HSC - SSCE Mathematics Standard - Question 1 - 2019 - Paper 1

Step 1

A. Calculate the perimeter

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Answer

To find the perimeter of shape A (Rectangle), we use the formula:

$P = 2(l + w)$

where:

$l = 4 \, cm$
$w = 2 \, cm$

Calculating:

$P = 2(4 + 2) = 2(6) = 12 \, cm$

Thus, shape A has a perimeter of 12 cm.

Step 2

B. Calculate the perimeter

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Answer

For shape B (Triangle), the perimeter is calculated by summing the lengths of all sides:

$P = 4 + 2 + 3 = 9 \, cm$

So, shape B does not have a perimeter of 12 cm.

Step 3

C. Calculate the perimeter

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Answer

For shape C (Square), we calculate using:

$P = 4s$

where $s = 4 \, cm$ :

$P = 4(4) = 16 \, cm$

Thus, shape C does not have a perimeter of 12 cm.

Step 4

D. Calculate the perimeter

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Answer

For shape D (Irregular Quadrilateral), the perimeter is:

$P = 4 + 1 + 5 = 10 \, cm$

Thus, shape D does not have a perimeter of 12 cm.

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