Two adjacent sides of a rectangle are 5x²-3y² and x²-2xy find its perimeter.
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Answers
Answer:
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Step-by-step explanation:
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Answer :
›»› The perimeter of a rectangle is 12x² - 6x² - 4xy.
Step-by-step explanation :
Given :
- Length of a rectangle = 5x² - 3y².
- Breadth of a rectangle = x² - 2xy.
To Find :
- The perimeter of rectangle = ?
Formula required :
Formula to calculate the perimeter of a rectangle is given by,
→ Perimeter of rectangle = 2(l + b).
Here,
- l is the Length of a rectangle.
- b is the Breadth of a rectangle.
Or we can say that l and b are the two adjacent sides of a rectangle.
Solution :
We know that, if we are given with the length of a rectangle and breadth of a rectangle then we have the required formula, that is,
→ Perimeter of rectangle = 2(l + b).
By using the formula to calculate the perimeter of a rectangle and substituting the given values in the formula, we get :
→ Perimeter of rectangle = 2{(5x² - 3y²) + (x² - 2xy)}
→ Perimeter of rectangle = 2(5x² - 3y² + x² - 2xy)
→ Perimeter of rectangle = 2(5x² + x² - 3y² - 2xy)
→ Perimeter of rectangle = 2(6x² - 3y² - 2xy)
→ Perimeter of rectangle = 2(6x²) - 2(3y²) - 2(2xy)
→ Perimeter of rectangle = 12x² - 2(3y²) - 2(2xy)
→ Perimeter of rectangle = 12x² - 6x² - 2(2xy)
→ Perimeter of rectangle = 12x² - 6x² - 4xy.