Question

A rectangle has a length 1/x cm width 1/ x+1 cm. What is the perimeter of the rectangle

Answer 1

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width

Answer 2

▂ ▄ ▅ ▆ ▇ █ SOLUTION █ ▇ ▆ ▅ ▄ ▂

⋆GIVEN

⋆LENGTH=1/X

⋆WIDTH=1/X+1

⋆FIND:- PERIMETER OF RECTANGLE

⋆According to the above information⋆

$↪perimeter = 2(l + b) \\ \\ ↪perimeter = 2( \frac{1}{x} + \frac{1}{x + 1} ) \\ \\ ↪perimeter = 2( \frac{x + 1 + x}{x(x + 1)} ) \\ \\ ↪perimeter = 2( \frac{2x + 1}{ {x}^{2} + x } ) \\ \\ ↪perimeter = \frac{4x + 2}{ {x}^{2} + x}$