Question

the length of a rectangular plot of land exceeds its breadth by 23 m. if the length is decreased by 15 m and the breadth is increased by 7m the area reduced by 360 m square find the lengthand breadth of the plot.

Answer 1

Length plot 1=x
Width plot 1=x-23
A=x(x-23)=x^2-23x
;
Length plot 2: =x-15
Width plot 2:x-23+7= x-16
Area plot 2=(x-15)(x-16)=x^2-31x+240
But plot 2 is 360 m^2 less than plot 1
They equal each other if 360 is added to plot 2
Therefore, x^2-23x=x^2-31x+600
x^2 cancel
8x=600
x=75 m
x-23=52 m
Plot 1 is 75 x 52=3900 m^2
Plot 2 is 60 + 59=3540 m^2, which is 360 less than 3900.
The answer is plot 1, 75 m long and 52 m wide.

Answer 2

Hope it helps...!!

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Check this attachment :-)

Therefore,

Breadth=52m

And,

Length=75m
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