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Length of a rectangle is twice of the breadth. If area of the rectangle is 18 cm2, find the perimetre of the rectangle.
- a)18 cm
- b)40 cm
- c)44 cm
- d)48 cm
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Length of a rectangle is twice of the breadth. If area of the rectangl...
Given information:
Length of the rectangle = twice the breadth
Area of the rectangle = 18 cm²
Let's solve the problem step by step.
Step 1: Understanding the problem
We need to find the perimeter of the rectangle.
Step 2: Finding the dimensions of the rectangle
Let's assume the breadth of the rectangle as 'x' cm.
According to the given information, the length of the rectangle is twice the breadth, so the length would be 2x cm.
Step 3: Finding the area of the rectangle
The area of a rectangle is given by the formula:
Area = Length * Breadth
Substituting the given values, we have:
18 = 2x * x
18 = 2x²
Step 4: Solving the equation
To solve the equation, we can divide both sides by 2:
9 = x²
Taking the square root on both sides, we get:
√9 = √(x²)
3 = x
So, the breadth of the rectangle is 3 cm and the length is twice the breadth, which is 6 cm.
Step 5: Finding the perimeter of the rectangle
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (Length + Breadth)
Substituting the given values, we have:
Perimeter = 2 * (6 + 3)
Perimeter = 2 * 9
Perimeter = 18 cm
Therefore, the perimeter of the rectangle is 18 cm.
Hence, the correct answer is option A) 18 cm.
Length of the rectangle = twice the breadth
Area of the rectangle = 18 cm²
Let's solve the problem step by step.
Step 1: Understanding the problem
We need to find the perimeter of the rectangle.
Step 2: Finding the dimensions of the rectangle
Let's assume the breadth of the rectangle as 'x' cm.
According to the given information, the length of the rectangle is twice the breadth, so the length would be 2x cm.
Step 3: Finding the area of the rectangle
The area of a rectangle is given by the formula:
Area = Length * Breadth
Substituting the given values, we have:
18 = 2x * x
18 = 2x²
Step 4: Solving the equation
To solve the equation, we can divide both sides by 2:
9 = x²
Taking the square root on both sides, we get:
√9 = √(x²)
3 = x
So, the breadth of the rectangle is 3 cm and the length is twice the breadth, which is 6 cm.
Step 5: Finding the perimeter of the rectangle
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (Length + Breadth)
Substituting the given values, we have:
Perimeter = 2 * (6 + 3)
Perimeter = 2 * 9
Perimeter = 18 cm
Therefore, the perimeter of the rectangle is 18 cm.
Hence, the correct answer is option A) 18 cm.
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Length of a rectangle is twice of the breadth. If area of the rectangle is 18 cm2, find the perimetre of the rectangle.a)18 cmb)40 cmc)44 cmd)48 cme)None of theseCorrect answer is option 'A'. Can you explain this answer?
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