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The ratio of the length and the breadth of a rectangle is 5:2. The area of the rectangle is 160 cm ². The perimeter of the rectangle will be?? A. 28 CM B. 36 CM C. 46 CM D. 56 CM?
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The ratio of the length and the breadth of a rectangle is 5:2. The are...
Given information:
The ratio of length to breadth of a rectangle is 5:2.
The area of the rectangle is 160 cm².
To find:
The perimeter of the rectangle.
Solution:
Let's assume the length of the rectangle is 5x and the breadth is 2x, where x is a constant.
Step 1: Finding the dimensions of the rectangle:
We know that the area of a rectangle is given by length × breadth.
So, the equation becomes:
(5x) × (2x) = 160 cm²
10x² = 160 cm²
Dividing both sides by 10:
x² = 16 cm²
Taking the square root of both sides:
x = 4 cm
Therefore, the length of the rectangle = 5x = 5 × 4 = 20 cm
And the breadth of the rectangle = 2x = 2 × 4 = 8 cm
Step 2: Finding the perimeter of the rectangle:
The perimeter of a rectangle is given by 2 × (length + breadth).
Using the values we found:
Perimeter = 2 × (20 cm + 8 cm)
Perimeter = 2 × 28 cm
Perimeter = 56 cm
Answer:
The perimeter of the rectangle is 56 cm. Therefore, the correct option is D. 56 CM.
The ratio of length to breadth of a rectangle is 5:2.
The area of the rectangle is 160 cm².
To find:
The perimeter of the rectangle.
Solution:
Let's assume the length of the rectangle is 5x and the breadth is 2x, where x is a constant.
Step 1: Finding the dimensions of the rectangle:
We know that the area of a rectangle is given by length × breadth.
So, the equation becomes:
(5x) × (2x) = 160 cm²
10x² = 160 cm²
Dividing both sides by 10:
x² = 16 cm²
Taking the square root of both sides:
x = 4 cm
Therefore, the length of the rectangle = 5x = 5 × 4 = 20 cm
And the breadth of the rectangle = 2x = 2 × 4 = 8 cm
Step 2: Finding the perimeter of the rectangle:
The perimeter of a rectangle is given by 2 × (length + breadth).
Using the values we found:
Perimeter = 2 × (20 cm + 8 cm)
Perimeter = 2 × 28 cm
Perimeter = 56 cm
Answer:
The perimeter of the rectangle is 56 cm. Therefore, the correct option is D. 56 CM.
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The ratio of the length and the breadth of a rectangle is 5:2. The area of the rectangle is 160 cm ². The perimeter of the rectangle will be?? A. 28 CM B. 36 CM C. 46 CM D. 56 CM?
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The ratio of the length and the breadth of a rectangle is 5:2. The area of the rectangle is 160 cm ². The perimeter of the rectangle will be?? A. 28 CM B. 36 CM C. 46 CM D. 56 CM? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The ratio of the length and the breadth of a rectangle is 5:2. The area of the rectangle is 160 cm ². The perimeter of the rectangle will be?? A. 28 CM B. 36 CM C. 46 CM D. 56 CM? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the length and the breadth of a rectangle is 5:2. The area of the rectangle is 160 cm ². The perimeter of the rectangle will be?? A. 28 CM B. 36 CM C. 46 CM D. 56 CM?.
The ratio of the length and the breadth of a rectangle is 5:2. The area of the rectangle is 160 cm ². The perimeter of the rectangle will be?? A. 28 CM B. 36 CM C. 46 CM D. 56 CM? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The ratio of the length and the breadth of a rectangle is 5:2. The area of the rectangle is 160 cm ². The perimeter of the rectangle will be?? A. 28 CM B. 36 CM C. 46 CM D. 56 CM? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the length and the breadth of a rectangle is 5:2. The area of the rectangle is 160 cm ². The perimeter of the rectangle will be?? A. 28 CM B. 36 CM C. 46 CM D. 56 CM?.
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