The length of a rectangle is 1 m greater than its width. If the length is increased by 2 m and
the width is decreased by 6 m, the area decreases by 50 m2. What are the dimensions of the rectangle
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legth -width=1
length =x
width=x-1
x(x-1)
x^2-x area 1st
if
x+2 and x-1-6
area =x+2(x-7)
x^2 -7x+2x-14
x^2-5x-14 area 2nd
said in question
1st area -2nd area = 50
x^2-x-x^2+5x+14=50
4x=36
x=9m
Therefore length of the rectangle is 9 m and width is 8 m.
Hope this helps u
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