Question

A rectangle and a square of side 60 cm has the same perimeter. Find the breadth of the rectangle if the length of the rectangle is 80cm

Answer 1

Answer:

breadth is 40 cm

step by step explanation :

perimeter of square= 4*side

4*60 cms

that is 240cms

perimeter of rectangle= 2(l+b)

2(80+b)

160 + 2b = 240

2b = 240-160 = 80

b = 80/2

so the breadth of rectangle is 40 cm

Answer 2

Given:-

• Side of square = 60 cm
• Length of Rectangle = 80 cm

To find:-

Breadth of rectangle

Assumption:-

Let the breadth be x

Solution:-

Side of square = 60 cm

We know,

$\sf{Perimeter\:of\:Square = (4\times side)\:units}$

= $\sf{Perimeter = (4\times60)\:cm}$

= $\sf{Perimeter = 240 \:cm}$

$\sf{Perimeter\: of \:square = Perimeter \:of \:Rectangle}$

= $\sf{4\times Side = 2(Length + Breadth)}$

= $\sf{240 = 2(80 + x)}$

= $\sf{\dfrac{240}{2} = 80 + x}$

= $\sf{120 = 80 + x}$

= $\sf{x = 120 - 80}$

= $\sf{x = 40\:cm}$

$\sf{\therefore The\:breadth\:of\:the\:rectangle\:is\:40\:cm}$

Additional Informations:-

• $\sf{Area\:of\:rectangle = (Length\times Breadth)\:sq.units}$

• $\sf{Perimeter\:of\:rectangle = 2(Length + Breadth)\:units}$

• $\sf{Area\:of\:square = ( Side)^2\:\:sq.units}$

• $\sf{Perimeter\:of\:square = (4\times Side)\:units}$