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A poster is 1.5 cm long and 7.5 cm wide. Which of the following is the ratio (in lowest terms) of the length and perimeter of the poster?

  • a)
    150:450

  • b)
    1:12

  • c)
    150:225

  • d)
    12:1

Correct answer is option 'B'. Can you explain this answer?
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A poster is 1.5 cm long and 7.5 cm wide. Which of the following is the...


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A poster is 1.5 cm long and 7.5 cm wide. Which of the following is the...
Explanation:

To find the ratio of the length and perimeter of the poster, we need to first find the perimeter of the poster.

Step 1:
Given that the length of the poster is 1.5 cm and the width is 7.5 cm.
The perimeter of the poster is given by the formula:
Perimeter = 2(length + width)

Step 2:
Substituting the given values into the formula, we get:
Perimeter = 2(1.5 + 7.5)
= 2(9)
= 18 cm.

Step 3:
Now, we can find the ratio of the length and perimeter.
Ratio = Length : Perimeter

Step 4:
Substituting the values, we get:
Ratio = 1.5 cm : 18 cm

Step 5:
To simplify the ratio, we divide both the numerator and denominator by the greatest common divisor (GCD) of the two numbers.

Step 6:
The GCD of 1.5 and 18 is 1.5 (since both numbers are divisible by 1.5).
Dividing both numerator and denominator by 1.5, we get:
Ratio = 1.5 cm / 1.5 : 18 cm / 1.5
= 1 : 12

Therefore, the ratio of the length and perimeter of the poster is 1 : 12, which corresponds to option B.
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A poster is 1.5 cm long and 7.5 cm wide. Which of the following is the ratio (in lowest terms) of the length and perimeter of the poster?a)150:450b)1:12c)150:225d)12:1Correct answer is option 'B'. Can you explain this answer?
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