Question

The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 1728 sq cm. What is the ratio of the breadth and the area of the rectangle ?A.  1 : 38B.    1 : 24C.  1 : 42D.    1 : 48

Answer 1

let the ratio be x
then, l=4x
b=3x
now, ar of rect.=1728
l×b=1728
4x×3x=1728
x^2=144
hence, x=12
then breadth=3x=3×12=36
Now,
breadth:ar of rect =36:1728
=1:48
hence , the answer is (d) 1:48

Answer 2

let the length be 4x
and,breadth be 3x
4x×3x=1728
12x2=1728
X2=1728/12
X2=144
X=12
length=4x
4×12
48
breadth=3x
3×12
36
area=l×b
=48×36
solve
according to me answer is to be find out only by this