SOLUTION: Define variables, state the equation. The width of a rectangular room is four feet less than its length. If the area of the room is 252 square feet, what are the dimensions?
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Question 1031061: Define variables, state the equation. The width of a rectangular room is four feet less than its length. If the area of the room is 252 square feet, what are the dimensions?
You can put this solution on YOUR website! Hi there,
Make length = x
Width = x - 4
Area of rectangle
= width x length
252 = (x - 4) * x (* times)
x^2 - 4x = 252
x^2 - 4x - 252 = 0
(x - 18)(x + 14) = 0
x + 14 = 0
x = -14 (Disregard as -ve value)
x - 18 = 0
x = 18
Length = 18 feet
Width = 14 feet.
Hope this helps :-)