SOLUTION: A farmer wants to set aside a rectangular plot of land to contain 560 square meters. If the width is 5 more than the length, find the dimensions of the plot

Question 581127: A farmer wants to set aside a rectangular plot of land to contain 560 square meters. If the width is 5 more than the length, find the dimensions of the plot
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Area = 560 sq.m
Length = x m
Width x + 5 m
Area = x(x+5 )=560
x^2+5x=560
x^2 +5x -560=0

Find the roots of the equation by quadratic formula

a= 1 , b= 5 , c= -560

b^2-4ac= 25 + 2240
b^2-4ac= 2265

x1=( -5 + 47.59 )/ 2
x1= 21.30
x2=( -5 -47.59 ) / 2
x2= -26.30
Ignore negative value
length = 21.3 m
width = 26.3

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