Answer:
Step-by-step explanation:
Let the original width be x
Then the original length = x + 11
Area = x * (x + 11)
If you decrease each side by 7 you get
Area 1 = (x - 7)(x + 4)
So area - area1 =
x (x + 11) -98 = (x - 7)(x + 4) Remove the brackets
x^2 + 11x - 98 = x^2 - 7x + 4x - 28 Combine the like terms
x^2 + 11x - 98 = x^2 - 3x - 28 Add 98 to both sides
x^2 + 11x = x^2 - 3x + 70 Cancel the x^2
11x = -3x + 70 Add 3x to both sides
14x = 70 Divide by 14
x = 70 / 14
x = 5
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Original conditions
Answer width = 5
Length = 16
If you check this, you will get totally bizarre answers. Don't check it. It gives negative results. You can do this in math, but not in the real world.
