A rectangular room has an area of 400 square foot. The length is 7 feet less than twice the width. How do you find the dimensions of the room?

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Answer 1 · 2018-04-09T07:54:11

#400 = wtimes(2w-7)#. Length is 25 ft and width is 16 ft.

You can put an equation to solve the problem:

#A=wtimesl#

where l is #2w-7#

Now you can solve the question.

#400=2w^2 -7w#

w will be 16 feet.

I used trial and error method to find w. If you want, you can use quadratic formula to solve the question. If w is 16 ft,

#400 = (2times16^2) - (7times16)#

#400 = 512 - 112#

It satisfies the equation.

Length is 25 ft and width is 16 ft.