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Perimeter of a rectangle is 60 cm. If length of the rectangle is 6 cm more than breadth. Find the area of the rectangle.
- a)216 cm2
- b)218 cm2
- c)220 cm2
- d)222 cm2
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Perimeter of a rectangle is 60 cm. If length of the rectangle is 6 cm ...
Perimeter of a Rectangle:
The perimeter of a rectangle is the total distance around the outside of the rectangle. It is calculated by adding the lengths of all four sides of the rectangle.
The formula for the perimeter of a rectangle is:
Perimeter = 2 × (Length + Breadth)
Given Information:
The perimeter of the rectangle is given as 60 cm.
The length of the rectangle is 6 cm more than the breadth.
Let's solve the problem step by step.
Step 1: Representing the Given Information
Let's assume the breadth of the rectangle as 'B'.
According to the given information, the length of the rectangle is 6 cm more than the breadth. So, the length can be represented as 'B + 6'.
Step 2: Finding the Perimeter
We know that the perimeter of a rectangle is calculated by adding the lengths of all four sides.
Using the formula:
Perimeter = 2 × (Length + Breadth)
Substituting the given values:
60 = 2 × (B + B + 6)
60 = 2 × (2B + 6)
30 = 2B + 6
2B = 30 - 6
2B = 24
B = 24/2
B = 12 cm
Step 3: Finding the Length
The length of the rectangle is 6 cm more than the breadth.
Substituting the value of breadth:
Length = B + 6
Length = 12 + 6
Length = 18 cm
Step 4: Finding the Area
The area of a rectangle is calculated by multiplying the length and breadth.
Using the formula:
Area = Length × Breadth
Substituting the values:
Area = 18 × 12
Area = 216 cm²
Therefore, the area of the rectangle is 216 cm², which corresponds to option A.
The perimeter of a rectangle is the total distance around the outside of the rectangle. It is calculated by adding the lengths of all four sides of the rectangle.
The formula for the perimeter of a rectangle is:
Perimeter = 2 × (Length + Breadth)
Given Information:
The perimeter of the rectangle is given as 60 cm.
The length of the rectangle is 6 cm more than the breadth.
Let's solve the problem step by step.
Step 1: Representing the Given Information
Let's assume the breadth of the rectangle as 'B'.
According to the given information, the length of the rectangle is 6 cm more than the breadth. So, the length can be represented as 'B + 6'.
Step 2: Finding the Perimeter
We know that the perimeter of a rectangle is calculated by adding the lengths of all four sides.
Using the formula:
Perimeter = 2 × (Length + Breadth)
Substituting the given values:
60 = 2 × (B + B + 6)
60 = 2 × (2B + 6)
30 = 2B + 6
2B = 30 - 6
2B = 24
B = 24/2
B = 12 cm
Step 3: Finding the Length
The length of the rectangle is 6 cm more than the breadth.
Substituting the value of breadth:
Length = B + 6
Length = 12 + 6
Length = 18 cm
Step 4: Finding the Area
The area of a rectangle is calculated by multiplying the length and breadth.
Using the formula:
Area = Length × Breadth
Substituting the values:
Area = 18 × 12
Area = 216 cm²
Therefore, the area of the rectangle is 216 cm², which corresponds to option A.
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Perimeter of a rectangle is 60 cm. If length of the rectangle is 6 cm more than breadth. Find the area of the rectangle.a)216 cm2b)218 cm2c)220 cm2d)222 cm2e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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