Question

The perimeter of a rectangle and a square drawn on a paper are the same. If the dimensions
are 10 cm and 14 cm, find the length of each side of the square drawn on the paper.
​

Answer 1

SOLUTION:-

$\bf\underline{\underline{\blue{Question:-}}}$

⠀⠀⠀⠀⠀• The perimeter of a rectangle and a square ⠀⠀⠀⠀⠀drawn on a paper are the same. If the ⠀⠀⠀⠀⠀Dimensions are 10 cm and 14 cm, find the ⠀⠀⠀⠀⠀length of each side of the square drawn on ⠀⠀⠀⠀⠀the paper.

$\bf\underline{\underline{\orange{Answer}}}$

⠀⠀⠀⠀⠀• side = 12cm

$\bf\underline{\underline{\red{Given:-}}}$

⠀⠀⠀⠀• Dimensions are ↝ 10cm and 14cm

$\bf\underline{\underline{\green{To \: Calculate:-}}}$

⠀⠀⠀⠀• Length of each side of The Square Drawn ⠀⠀⠀⠀on Paper

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

Perimeter of rectangle = Perimeter of Square

Length of Rectangle = 14cm ( Given)

Breadth of Rectangle = 10cm (Given)

We know that

$\boxed{ Perimeter\: of \: Rectangle➺2(l+b)}$

➺ 2(14+10)

➺ 2× 24

➺ 48 cm

Perimeter of Rectangle = 48cm

Therefore

Perimeter of Square also 48 cm

We know that,

$\boxed{Perimeter\: of \: square➺4×side}$

➺ 4×side = 48

➺ side = 48/4

➺ Side = 12cm

$\bf\underline{\underline{\purple{Hence:-}}}$

⠀⠀⠀⠀⠀• The length of side of square is 12cm

____________________________________________

Answer 2

Answer:

side = 12 cm

Step-by-step explanation:

perimeter of rectangle = 2( l+b)

perimeter of square = 4× side