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The area of a rectangle is 630 cm2 and its length is 35cm, what is its perimeter?
- a)102 cm
- b)104 cm
- c)106 cm
- d)108 cm
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The area of a rectangle is 630 cm2 and its length is 35cm, what is its...
If b is breadth of rectangle then
Perimeter = 2 (l + b) = 2 (35 + 18)
= 2 × 53 = 106 cm
Perimeter = 2 (l + b) = 2 (35 + 18)
= 2 × 53 = 106 cm
Most Upvoted Answer
The area of a rectangle is 630 cm2 and its length is 35cm, what is its...
Understanding the Problem
To find the perimeter of a rectangle when given its area and length, we can follow these steps:
Given Information
- Area of the rectangle = 630 cm²
- Length of the rectangle = 35 cm
Finding the Width
- The formula for the area of a rectangle is:
Area = Length × Width
- Rearranging the formula to find the width:
Width = Area ÷ Length
- Substitute the known values:
Width = 630 cm² ÷ 35 cm
- Performing the calculation:
Width = 18 cm
Calculating the Perimeter
- The formula for the perimeter of a rectangle is:
Perimeter = 2 × (Length + Width)
- Plugging in the values:
Perimeter = 2 × (35 cm + 18 cm)
- Adding the length and width:
Perimeter = 2 × 53 cm
- Performing the multiplication:
Perimeter = 106 cm
Conclusion
The perimeter of the rectangle is 106 cm, which corresponds to option 'C'. This method illustrates how to derive one measurement from another in basic geometry.
Thus, the correct choice is:
- Option C: 106 cm
To find the perimeter of a rectangle when given its area and length, we can follow these steps:
Given Information
- Area of the rectangle = 630 cm²
- Length of the rectangle = 35 cm
Finding the Width
- The formula for the area of a rectangle is:
Area = Length × Width
- Rearranging the formula to find the width:
Width = Area ÷ Length
- Substitute the known values:
Width = 630 cm² ÷ 35 cm
- Performing the calculation:
Width = 18 cm
Calculating the Perimeter
- The formula for the perimeter of a rectangle is:
Perimeter = 2 × (Length + Width)
- Plugging in the values:
Perimeter = 2 × (35 cm + 18 cm)
- Adding the length and width:
Perimeter = 2 × 53 cm
- Performing the multiplication:
Perimeter = 106 cm
Conclusion
The perimeter of the rectangle is 106 cm, which corresponds to option 'C'. This method illustrates how to derive one measurement from another in basic geometry.
Thus, the correct choice is:
- Option C: 106 cm
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The area of a rectangle is 630 cm2 and its length is 35cm, what is its perimeter?a)102 cmb)104 cmc)106 cmd)108 cmCorrect answer is option 'C'. Can you explain this answer?
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