Question

Question 79

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
$\because$ FCDE is a square, i.e. FC = CD = EF = DE = $x[\because$ all sides of a square are equal]
$\therefore$ 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