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 $= AB + BC + CD + DE + EF + FA = x + y + x + x + x + y =4x + 2y$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The ages of two persons are in the ratio $5 : 7$. Eighteen years ago their ages were in the ratio $8 : 13$. Find their present ages.
→ Solve: $0.5\text{x}+\frac{\text{x}}{3}=0.25\text{x}+7$
→A racetrack is in the form of a ring whose inner circumference is $528m$ and the outer circumference is $616m$. Find the width of the track.
→In an examination, $8\%$ of the students fail. Whats percentage of the students pass? If $1650$ students appeared in the examination, how many passed?
→In the adjoining figure, it is given that $AB \| CD$, $\angle\text{ABO}=50^\circ$ and $\angle\text{CDO}=40^\circ.$ Find the measure of $\angle\text{BOD}.$
→Simplify: $(3 x+4)(2 x-3)+(5 x-4)(x+2)$
→Write the number of seconds in scientific notation.
→|
Unit
|
Value in Seconds
|
|
|
$1$
|
$1$ Minute
|
$60$
|
|
$2$
|
$1$ Hour
|
$3,600$
|
|
$3$
|
$1$ Day
|
$86,400$
|
|
$4$
|
$1$ Month
|
$2,600,000$
|
|
$5$
|
$1$ Year
|
$32,000,000$
|
|
$6$
|
$10$ Years
|
$3,20,000,000$
|
For the given data below, calculate the mean of its median and mode
$6, 2, 5, 4, 3, 4, 4, 2, 3$
→$6, 2, 5, 4, 3, 4, 4, 2, 3$
In the figure below, are ∆DFE and ∆GED congruent to each other? It is given that DF = DG and FE = GE.
How would you find the average of your study hours for the whole week?