The area of a rectangular piece of land is 240 square meters. If the length of the land was 5 meters less and the width was 3 meters more, the shape of the land would be a square.
Part A: Write an equation to find the width (x) of the land. Show the steps of your work. (5 points)
Part B: What is the width of the land in meters? Show the steps of your work. (5 points)
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or oregonduck because
a) Let s represent the side of the square. Then you have
.. x + 1 = s = y - 5 ... where y is the length
.. y = x+6 ... solve for y
Now the area is the product of width (x) and length (y)
.. x(x+6) = 280
b) x^2 + 6x + 9 = 289 ... add 9 to complete the square
.. (x+3)^2 = 17^2 ... rewrite as squares
.. x = 14 ... take the square root and subtract 3
The width of the land is 14 meters.
hen the length is 5 less, and the width is 3 more, then both dimensions are equal `because it's a square`.\[\Large\bf\sf \ell-5\quad=\quad w+3\]
ok hellokity relie on mr duck my side kick lol to give answer im tired im a go to bed