Question

Ratio of length and breadth of a rectangle is 4: 3 the rectangle area is 192 cm square the perimeter of the rectangle will be

Answer 1

Answer:56

Step-by-step explanation:let the length of the rectangle be 4x and breadth be 3x.

Area of rectangle=length ×breadth

So, 4x×3x=192,

12x2=192,

x=√192\12,

x=√16,

x=4.

So, length=4×4=16,

Breadth=3×4=12.

Perimeter=2(length+breadth),

Perimeter=2(16+12),

Peimeter=2×28=56.

Answer 2

The perimeter of the rectangle = 56cm

Explanation:

Given:

1. Ratio of length and breadth of a rectangle is 4: 3

2. The Area of the Rectangle is 192cm²

To find:

The perimeter of the rectangle

Formula:

Area of the rectangle = length×breadth

The Perimeter of the rectangle = 2(l+b)

Solution:

==> The given ratio of length and breadth is 4:3

==> let, length = 4x

==> breadth = 3x

==> Area = 192cm²

==> Area = length×breadth

==> 192 = 4x × 3x

==> 192 = 12x²

==> x² = 192÷12

==> x² = 16

==> Taking square root on both sides

==> √x² = √16

==> x = 4

==> l = 4x and b = 3x

==> Apply x value

==> l= 4×4

==> b =3×4

==> The length of the rectangle = 16 cm

==> The Breadth of the rectangle = 12 cm

==> The perimeter of the rectangle = 2(l+b)

==> Perimeter = 2(16+12)

==> Perimeter = 2(28)

==> Perimeter = 56 cm

==> The perimeter of the rectangle = 56cm