Number, NAP_70008
Question
The area of a rectangle is 36 cm2 and the perimeter is 30 cm. What is the ratio of the width to the length?
Worked Solution
Possible dimensions if area = 36 cm2
36 × 1 = 36, Perimeter = (36 + 1) × 2 = 74
6 × 6 = 36, Perimeter = (6 + 6) × 2 = 24
4 × 9 = 36, Perimeter = (4 + 9) × 2 = 26
12 × 3 = 36, Perimeter = (12 + 3) × 2 = 30 (correct)
∴ Ratio of width : length
|
| = 3 : 12 |
| = {{{correctAnswer}}} |
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
Variant 0
DifficultyLevel
575
Question
The area of a rectangle is 36 cm2 and the perimeter is 30 cm. What is the ratio of the width to the length?
Worked Solution
Possible dimensions if area = 36 cm2
36 × 1 = 36, Perimeter = (36 + 1) × 2 = 74
6 × 6 = 36, Perimeter = (6 + 6) × 2 = 24
4 × 9 = 36, Perimeter = (4 + 9) × 2 = 26
12 × 3 = 36, Perimeter = (12 + 3) × 2 = 30 (correct)
∴ Ratio of width : length
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| correctAnswer | |
Answers