SOLUTION: 1.the length of a rectangular field is 11m more than it's width. if the length is decreased by 12m and the width is increased by 10m, the area decreases by 24m2.find the length and
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Question 544912: 1.the length of a rectangular field is 11m more than it's width. if the length is decreased by 12m and the width is increased by 10m, the area decreases by 24m2.find the length and the width of the field.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
width =x
length = x+11
length decreased by 12
x+11-12
=x-1
width = x+10
area dcreases by 24
Original area - changed area = 24
x(x+11)-(x-1)(x+10)=24
x^2+11x-(x^2+9x-10)=24
x^2+11x-x^2-9x+10=24
2x+10=24
2x=24-10
2x=14
/2
x=7 m the width
Length = x+11= 18m
..
126-102=24
x=14/20
x=7/10
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