A rectangular table is five times as long as it is wide. If the area is 180 ft2, how do you find the length and the width of the table?

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Answer 1 · 2018-05-08T11:42:05

The width is #4.648# feet and the length is #23.238# feet

We know the length in terms of the width.

Let the width of the table be #x# feet.
Therefore the length is #5x# feet.

#A = l xx w#

The area of the table is given so you can write an equation:

#5x xx x = 108#

#5x^2 = 108" "larr div 5#

#x^2 = 21.6#

#x = sqrt21.6" "larr# only the positive root needs to be used,

#x = 4.648# feet is the width

#5x = 23.238# feet is the length