The ratio between the perimeter and the breadth of a rectangle is 14 : 3 if the area of the rectangle is 432 sq.m.. what is the length of the rectangle ?
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let the perimeter and breadth of rectangle be 14x and 3x.
perimeter of rectangle=2( length+breadth)
14x=2l+2b=2l+6x
2l=14x-6x=8x
so,length is 8x
now,area of rectangle= length* breadth
432sq.m.=8x*3x=24x^2
432sq.m.=24x^2
x^2=432/24=18
x=√18
perimeter of rectangle=14*√18
breadth of rectangle=3*√18
perimeter of rectangle=2( length+breadth)
14x=2l+2b=2l+6x
2l=14x-6x=8x
so,length is 8x
now,area of rectangle= length* breadth
432sq.m.=8x*3x=24x^2
432sq.m.=24x^2
x^2=432/24=18
x=√18
perimeter of rectangle=14*√18
breadth of rectangle=3*√18
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