smc-6520-10-Perimeter

Measurement, STD1 M1 2024 HSC 9 MC

An equilateral triangle and an isosceles triangle are shown.

The triangles have the same perimeter.

What is the value of \(x\)?

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\(D\)

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\(\text{Perimeter triangle 1 }=3\times 11=33\ \text{m}\)

\(\text{Perimeter triangle 2 }=2\times x+9=(2x+9)\ \text{m}\)

\(\Rightarrow D\)

Which of the following shapes has the largest perimeter?

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`A`

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`\text{Consider each option:}`

`\text{Option A:} \ 4 \times 8 = 32 \ \text{cm}`

`\text{Option B:} \ 2 \times (3 + 11) = 28 \ \text{cm}`

`\text{Option C:} \ 3 \times 10 = 30 \ \text{cm}`

`\text{Option D:} \ 4 \times 2 + 3 + 9 = 20 \ \text{cm}`

`=> A`

Which of the following shapes has a perimeter of 12 cm?

A.		B.
C.		D.

NOT TO SCALE

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`A`

Show Worked Solution

`text(Perimeter) = 2 xx (4+2)=12\ text(cm)`

`=> A`