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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?
Solution
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
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