The perimeter of a rectangular floor is 90 feet. How do you find the dimensions of the floor if the length is twice the width?

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Answer 1 · 2015-12-20T17:12:14

Length of the rectangle #=15 # feet
Breadth of the rectangle #=30# feet.

Let the breadth of the rectangle #=x#

So, the length of the rectangle #=color(blue)(2) times x#

The perimeter given #=90# feet

As per the formula for perimeter of a rectangle

Perimeter #=2 times# (length + breadth )

#90 = 2 times (x + 2x )#

#90 = 2times(3x )#

#90 = 6x #

#x=90/6#

#color(blue)(x=15#

So the length of the rectangle #=15 # feet, breadth of the rectangle #=30# feet.