The adjacent sides of a rectangle are (2x + 3y) and (2x - 3y), find its perimeter,
Answers
Answer:
8x units
Step-by-step explanation:
Given:
The adjacent sides of a rectangle are (2x + 3y) units and (2x - 3y) units.
To find:
Perimeter of the rectangle
Solution:
The formula to calculate the perimeter of a rectangle is
2(l + b)
Where
l and b are the sides of the rectangle.
Substituting the values into the formula,
2[(2x + 3y) + (2x - 3y)]
⇒ 2(2x + 3y + 2x - 3y)
⇒ 2(4x)
⇒ 8x units
Let the length be (2x+3y)units and breadth be (2x-3y)units
Perimeter of a rectangle= 2(l+b)
=2((2x+3y)+(2x-3y))
=2(2x+3y+2x-3y)
=2(4x)
=8x units
Therefore, perimeter of the rectangle= 8x units.
Hope this helped!