the area of a rectangle is 480 metre if the length of the rectangle is 4 m more than its breadth find its breadth
(a) 24 m (b) 20 m (c) 18 m (d) 16 m
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Answer · Letthebreadth=xcmlength=x+10Perim eter=80m2(l+b)=80ml+b=40x+10+x=40x=15c mthen,length=15+10=25l=25cmDimension(l,b)
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Let the breadth of a rectangle= x
It’s length. =x+4
It’s area. x(x+4)
x^2+4x
But given area=480sqm
x^2+4x=480
x^2+4x-480=0
x^2+24x-20x-480=0
x(x+24)-20(x+24)=0
(x+24)(x-20)=0
x=20
So required breadth=24
Then length. = 20
Option (a) is the correct
It’s length. =x+4
It’s area. x(x+4)
x^2+4x
But given area=480sqm
x^2+4x=480
x^2+4x-480=0
x^2+24x-20x-480=0
x(x+24)-20(x+24)=0
(x+24)(x-20)=0
x=20
So required breadth=24
Then length. = 20
Option (a) is the correct
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