Which of the following shapes has the largest perimeter?
A - HSC - SSCE Mathematics Standard - Question 1 - 2021 - Paper 1
Question 1
Which of the following shapes has the largest perimeter?
A.
⎺⎺⎺⎺⎺⎺⎺
8 cm
B.
⎺⎺⎺⎺⎺⎺⎺⎺⎺⎺⎺⎺⎺
3 cm | 11 cm
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Worked Solution & Example Answer:Which of the following shapes has the largest perimeter?
A - HSC - SSCE Mathematics Standard - Question 1 - 2021 - Paper 1
Step 1
Calculate the perimeter of shape A
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Answer
The perimeter of a rectangle is calculated using the formula:
[
P = 2(l + w)
]
Here, length (l) = 8 cm and width (w) = 8 cm (since it is a square).
[
P_A = 2(8 + 8) = 32 , \text{cm}
]
Step 2
Calculate the perimeter of shape B
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Answer
For shape B (a rectangle), the perimeter is:
[
P = 2(3 + 11) = 2(14) = 28 , \text{cm}
]
Step 3
Calculate the perimeter of shape C
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Answer
For shape C (a triangle), the perimeter is:
[
P = 10 + 10 + 10 = 30 , \text{cm}
]
Step 4
Calculate the perimeter of shape D
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Answer
For shape D (a trapezium), the perimeter is:
[
P = 4 + 3 + 9 + 3 = 19 , \text{cm}
]
Step 5
Determine which shape has the largest perimeter
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