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

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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) About Me  (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
%09sqrt%28%092265%09%29=%0947.59%09
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=( -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