Question
A school has a rectangular play ground 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
Lenght of rectangular playground $AB = x$ And breadth of rectangular playground $BC = y$
$\because\ FCDE$ is a square i. e $FC = CD = EF = DE = x$
$\because\ ABCF$ is a rectangle i. e $AB = FC = x$ and $BC = AF = y [\because\ $All sides of a square are equal$]$
Now, perimeter of combined $($playground $+$ lawn$) =$ sum of all sides $= AB + BC + CD + DE + EF + FA = x + y + x + x + x + y =4x + 2y$
$\because\ FCDE$ is a square i. e $FC = CD = EF = DE = x$
$\because\ ABCF$ is a rectangle i. e $AB = FC = x$ and $BC = AF = y [\because\ $All sides of a square are equal$]$
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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