SOLUTION: a rectangle plot of ground has an area of 600 square yards. the langth of the plot is 5 yard shorter than three times the width x. 5.Write a quadratic equation in standord for

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Question 521944: a rectangle plot of ground has an area of 600 square yards. the langth of the plot is 5 yard shorter than three times the width x.

5.Write a quadratic equation in standord for that represents the area os the plot.

6.The Length Is ________ yards and the width is_______ yards.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Area = L*W
Area = 660 sq. ft


Area = 600 sq. yd
Width = x yd
Length =(3x-5 )
Area =x *(3x-5 )
600 =3x^2-5x
3x^2-5x -600=0
Find the roots of the equation by quadratic formula

a= 3 ,b= -5 ,c= -600

b^2-4ac= 25 + 7200
b^2-4ac= 7225
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=%28-12%2B21%29%2F%2812%29
x1=( 5 + 85 )/ 6
x1= 15
x2=( 5 -85 ) / 6
x2= -13.33 Ignore negative value
width = 15 yd
length = 40 yd
check
Area = 15*40 = 600