A Room Whose Area Is 24ft\Xb2 Has A Length That Is 2feet Longer Than The Width. What Are The Dimensions Of The Room?

a room whose area is 24ft² has a length that is 2feet longer than the width. what are the dimensions of the room?

  A = lw
A=24
24 = lw --equation1
l = w+2 ---equation2
substitute equation 2 to 1
24 =(w+2)w
24 = w^2 + 2w
w^2 + 2w - 24 = 0
(w+6)(w-4) = 0
w = -6; w = 4
take the positive value
w = 4
substitute w = 4 to equation 2
l = w + 2
l = 4 +2
l = 6
therefore the room is 6ft by 4ft

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