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The ratio of two sides of a parallelogram is 4 : 3. If its perimeter is 56 cm, what is the difference between largest and smallest side?
- a)8 cm
- b)4 cm 9
- c)12 cm
- d)16 cm
Correct answer is option 'B'. Can you explain this answer?
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The ratio of two sides of a parallelogram is 4 : 3. If its perimeter i...
The opposite sides of parallelogram are equal.
∴ 4x + 3x + 4x + 3x = 56
⇒ 14x = 56 ⇒ x = 4
∴ 4x = 4 × 4 = 16
and 3x = 4 × 3 = 12
∴ Difference = 16 – 12 = 4 cm
∴ 4x + 3x + 4x + 3x = 56
⇒ 14x = 56 ⇒ x = 4
∴ 4x = 4 × 4 = 16
and 3x = 4 × 3 = 12
∴ Difference = 16 – 12 = 4 cm
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The ratio of two sides of a parallelogram is 4 : 3. If its perimeter i...
To solve this problem, we can use the concept of ratios and proportions.
Let's assume that the two sides of the parallelogram have lengths 4x and 3x, where x is a common ratio.
Perimeter of a parallelogram is given by the formula: P = 2(a + b), where a and b are the lengths of the sides.
Given that the perimeter is 56 cm, we can write the equation as:
56 = 2(4x + 3x)
Simplifying the equation, we get:
56 = 2(7x)
56 = 14x
Dividing both sides of the equation by 14, we find:
x = 4
Now we can calculate the lengths of the sides:
Side 1 = 4x = 4(4) = 16 cm
Side 2 = 3x = 3(4) = 12 cm
The difference between the largest and smallest side is:
16 cm - 12 cm = 4 cm
Therefore, the correct answer is option B) 4 cm.
Let's assume that the two sides of the parallelogram have lengths 4x and 3x, where x is a common ratio.
Perimeter of a parallelogram is given by the formula: P = 2(a + b), where a and b are the lengths of the sides.
Given that the perimeter is 56 cm, we can write the equation as:
56 = 2(4x + 3x)
Simplifying the equation, we get:
56 = 2(7x)
56 = 14x
Dividing both sides of the equation by 14, we find:
x = 4
Now we can calculate the lengths of the sides:
Side 1 = 4x = 4(4) = 16 cm
Side 2 = 3x = 3(4) = 12 cm
The difference between the largest and smallest side is:
16 cm - 12 cm = 4 cm
Therefore, the correct answer is option B) 4 cm.
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The ratio of two sides of a parallelogram is 4 : 3. If its perimeter is 56 cm, what is the difference between largest and smallest side?a)8 cmb)4 cm 9c)12 cmd)16 cmCorrect answer is option 'B'. Can you explain this answer?
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