# The length of a rectangle is eight centimeters less than twice its width. If the perimeter of the rectangle is 20 centimeters, find its dimensions.

1 answer

###### Question:

The length of a rectangle is eight centimeters less than twice its width. If the perimeter of

the rectangle is 20 centimeters, find its dimensions.

the rectangle is 20 centimeters, find its dimensions.

## Answers

Answer:width of given rectangle = 6 cmlength of given rectangle = 4 cmStep-by-step explanation:Let the breadth be x cmgiven that The length of a rectangle is eight centimeters less than twice its widthlength of rectangle in terms of x = 2(breadth ) - 8 = 2x - 8 we know perimeter of rectangle is given = 2(l + b) thus, perimeter of given rectangle is = 2 ( x + 2x - 8) = 6x - 16also given perimeter of the rectangle is 20 centimetersthus,6x - 16 = 20 6x = 20 + 16 = 36x = 36/6 = 6Thus, width of given rectangle = 6 cmlength of given rectangle = 2*6 - 8 = 4 cm

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