The perimeter of a rectangle is 96 ft. How do you find the dimensions of the rectangle if the ratio of the length to the width is 7: 5?

1 Answer
Jan 21, 2016

Answer:

The dimensions are:

length #=color(blue)( 28 feet#
the width#= color(blue)( 20 feet#

Explanation:

The ratio of dimensions (length :width) is #color(blue)(7:5#

Let us denote the dimensions as:
length (l) #=color(blue)(7x#

width (w)#=color(blue)(5x#

The perimeter of the rectangle is calculated as :
Perimeter #= 2 xx (l+ w)#

#= 2 xx ( 7x +5x)#

#= 2 xx ( 12x )#

#= 24x#

As per data provided the perimeter #=96 feet#

So, #24x = 96#
#x = 4 feet#

So:
the length #= 7x = 7 xx 4 =color(blue)( 28 feet#
the width#= 5x = 5 xx 4 =color(blue)( 20 feet#