SOLUTION: the length of a rectangular plot of land with an area of 880 meters is 24 meters more than its width. If w represents the width of the plot of land in meters, write an equation in

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Question 1075902: the length of a rectangular plot of land with an area of 880 meters is 24 meters more than its width. If w represents the width of the plot of land in meters, write an equation in the form x^2+bx+c=0 that will be used to find the possible values if the width of the land
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Length is w+24 and width is w.
Area given as 880.




Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
There is the way to solve the problem MENTALLY. 

Let "x" be the value of the mid-point between L and W:  x = w + 12.

Then the width W = x - 12, while the length is L = x + 12.


WL = 880 then becomes (x-12)*(x+12) = 880,   or x^2 - 144 = 880.


Then x^2 = 880 + 144 = 1024,  and  x =  = 32.


Therefore, W = 32 - 12 = 20 and L = 32 + 12 = 44.


Answer.  The dimensions of the rectangle are 44 m  and  20 m.


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