Question

A square has a side of length 16cm.what would be its length of the rectangle if it's breadth is 8cm and it has the same perimeter as that of given square.

Answer 1

$\large\bf\underline{Given:}$

Side of square = 16cm

Breadth of rectangle = 8cm

Perimeter of square = Perimeter of rectangle

$\large\bf\underline{To\:Find:}$

Length of the rectangle

$\large\bf\underline{Solution:}$

To find the length we will first find the perimeter of the square.

$\boxed{\sf{Perimeter\:of\: square=4a}}$

$\implies perimeter = 4(16) \\ \implies perimeter = 64cm$

It is given that the perimeter of square is equal to the perimeter of the rectangle.So we need to equate the perimeter of rectangle with the perimeter of the square to find the length of the rectangle.

$\boxed{\sf{Perimeter\:of\: rectangle=2(l+b)}}$

$\implies64 = 2(l + 8) \\ \implies32 = l + 8 \\ \implies l = 24cm$

Therefore, the length of the rectangle is 24cm.

Answer 2

Answer:

Length = 24 cm

Step-by-step explanation:

Perimeter of square = 4 * Length = 4 * 16 = 64 cm

Perimeter of rectangle = Perimeter of square = 64 cm

Perimeter of rectangle = 2 ( Length + Breadth)

64 = 2 (Length + 8)

64 = 2* Length + 16

2* Length = 64 - 16

2* Length = 48

Length = 48 / 2

Length = 24 cm