Question

A school has a rectangular playground with length x and breadth y and a square lawn with side x as shown in the figure given below. What is the total perimeter of both of them combined together?

Answer 1

Given, Length of rectangular playground, AB = x

And breadth of rectangular playground, BC = y

∵ FCDE is a square, ie. FC = CD = EF = DE = x  ...[∵ All sides of a square are equal] 

∵ ABCF is a rectangle, i.e. AB = FC = x and BC = AF = y

Now, perimeter of combined (playground + lawn) = Sum of all sides

= AB + BC + CD + DE + EF + FA

= x + y + x + x + x + y

= 4x + 2y