The question is incomplete. The complete question is :
A 15-meter by 23-meter garden is divided into two sections. Two sidewalks run along the diagonal of the square section and along the diagonal of the smaller rectangular section. What is the approximate sum of the lengths of the two sidewalks, shown as dotted lines? 21.2 m 27.5 m 32.5 m 38.2 m
Solution :
From the figure, we apply the Pythagoras theorem.
Finding the lengths of the two side walks :
1st Step
In the square section,
The length of the diagonal is given by :
[tex]$D=\sqrt{15^2+15^2}$[/tex]
[tex]$=\sqrt{450}$[/tex]
= 21.21 m
2nd step
In the rectangular section,
The length of the diagonal is given by :
[tex]$D=\sqrt{15^2+8^2}$[/tex]
[tex]$=\sqrt{289}$[/tex]
= 17 m
3rd step
Therefore, the total length of the two diagonals of the two section is
= 17 + 21.21
= 38.21 m
or 38.2 m
