20191

Question

A given rectangle has one side that is {{frac}} the length of another side.

If the {{which1}} side is {{dist1}} centimetres, what is the {{pv1}} of the rectangle?

Worked Solution

{{which2}} side = {{dist1}} cm

⇒\rArr {{which3}} side = {{dist2}} cm
∴\therefore {{pv2}} = {{pv2sol}}
= {{{correctAnswer}}}

Variant 0

DifficultyLevel

570

Question

A given rectangle has one side that is half the length of another side.

If the long side is 8 centimetres, what is the area of the rectangle?

Worked Solution

Long side = 8 cm

⇒\rArr Short side = 4 cm
∴\therefore Area = 8 ×\times 4
= 32 cm2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
frac
half
which1
long
dist1
8
pv1
area
which2
Long
which3
Short
dist2
4
pv2
Area
pv2sol
8 $\times$ 4
correctAnswer
32 cm$^2$

Answers

Is Correct?Answer
x

12 cm2^2

x

24 cm2^2

✓

32 cm2^2

x

128 cm2^2

Variant 1

DifficultyLevel

572

Question

A given rectangle has one side that is three times the length of another side.

If the long side is 12 centimetres, what is the perimeter of the rectangle?

Worked Solution

Long side = 12 cm

⇒\rArr Short side = 4 cm
∴\therefore Perimeter = 2 ×\times (12 + 4)
= 32 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
frac
three times
which1
long
dist1
12
pv1
perimeter
which2
Long
which3
Short
dist2
4
pv2
Perimeter
pv2sol
2 $\times$ (12 + 4)
correctAnswer
32 cm

Answers

Is Correct?Answer
x

16 cm

✓

32 cm

x

36 cm

x

48 cm

Variant 2

DifficultyLevel

571

Question

A given rectangle has one side that is half the length of another side.

If the short side is 8 centimetres, what is the perimeter of the rectangle?

Worked Solution

Short side = 8 cm

⇒\rArr Long side = 16 cm
∴\therefore Perimeter = 2 ×\times (8 + 16)
= 48 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
frac
half
which1
short
dist1
8
pv1
perimeter
which2
Short
which3
Long
dist2
16
pv2
Perimeter
pv2sol
2 $\times$ (8 + 16)
correctAnswer
48 cm

Answers

Is Correct?Answer
x

24 cm

x

32 cm

✓

48 cm

x

128 cm

Variant 3

DifficultyLevel

569

Question

A given rectangle has one side that is twice the length of another side.

If the long side is 6 centimetres, what is the area of the rectangle?

Worked Solution

Long side = 6 cm

⇒\rArr Short side = 3 cm
∴\therefore Area = 6 ×\times 3
= 18 cm2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
frac
twice
which1
long
dist1
6
pv1
area
which2
Long
which3
Short
dist2
3
pv2
Area
pv2sol
6 $\times$ 3
correctAnswer
18 cm$^2$

Answers

Is Correct?Answer
✓

18 cm2^2

x

24 cm2^2

x

36 cm2^2

x

72 cm2^2

Variant 4

DifficultyLevel

621

Question

A given rectangle has one side that is one-third the length of another side.

If the short side is 9 centimetres, what is the perimeter of the rectangle?

Worked Solution

Short side = 9 cm

⇒\rArr Long side = 27 cm
∴\therefore Perimeter = 2 ×\times (9 + 27)
= 72 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
frac
one-third
which1
short
dist1
9
pv1
perimeter
which2
Short
which3
Long
dist2
27
pv2
Perimeter
pv2sol
2 $\times$ (9 + 27)
correctAnswer
72 cm

Answers

Is Correct?Answer
x

36 cm

x

54 cm

✓

72 cm

x

243 cm