Question

The ratio the lenth and breadth of a rectangle is 4:3 the area of the rectangle is 192cm

Answer 1

a/b = 4/3
a*b = 192
b = 192/a
a/192/a = 4/3
a^2 = 64*4
a = 16
b = 3a/4 = 12

Answer 2

$\huge {\underline{\underline{\rm{Question}}}}$

The ratio the lenth and breadth of a rectangle is 4:3 the area of the rectangle is 192cm.

$\huge{\underline{\underline{\bf{\blue{Required Answer:-}}}}}$

${\underline{\bf{\pink{Given}}}}$

✪length: breadth of rectangle = 4:3

✪Area of rectangle = 192cm

${\underline{\bf{\pink{To\: find}}}}$

✪Length of rectangle

✪ breadth of rectangle

${\underline{\bf{\pink{Explanation}}}}$

Let the length and breadth of rectangle are as :- 4x and 3x

Now,

Using formula of Area of rectangle -

✪ Area of rectangle = Length×breadth

We can write an equation as :-

length×breadth = Area of rectangle

=> 4x × 3x = 192cm

=> 12x² = 192cm

=> x² = 192/12

=> x² = 16

=> x = √16

=> x = 4cm

So, we found that the value of x = 4cm

Now, put this value in 4x and 3x =>

✪ 4x = 4× 4 = 16cm

✪ 3x = 3× 4 = 12cm

Hence, Length of rectangle = 16cm

nd, breadth of rectangle = 12cm