Question

The perimeter of a square and a rectangle are equal .each side of the square measure 7cm the length and breadth of the rectangle are in the ratio 4:3 find the dimensions of the rectangle solve kr do please

Answer 1

Answer:

Length of the rectangle is 8 cm.

And, breadth of the rectangle is 6cm.

Step-by-step explanation:

Side of square = 7 cm (given)

Perimeter of square = 4 × side

Perimeter of square = 4 × 7 cm

Perimeter of square = 28 cm

Let the length (l) of rectangle be 4x and

the breadth (b) of rectangle be 3x.

According to the question

Perimeter of rectangle = Perimeter of square

2(l + b) = 28 cm

2 (4x + 3x)=28 cm

2 × 7x = 28 cm

14 x = 28 cm

x = 28/14 cm

x = 2 cm

So, 4x = 4 × 2cm = 8 cm

3x = 3 × 2cm = 6 cm

Hence,

Length of a rectangle = 4x = 8cm

And

Breadth of a rectangle = 3x = 6cm