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
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Answer:
) The square section
The side length of the square is 15m.
You can use Pythagora's theorem to find the length of the diagonal:
Diagonal ^2 = (15m)^2 + (15m^2) = 450 m^2
=> Diagonal = √(450m^2) = 21.21m
2) The small rectangle section
The sides of this rectangle are 23 - 15 = 8 m and 15 m
Now use the Pythagora's theorem:
diagonal^2 = (8m)^2 + (15m)^2 = 289 m^2 =>
diagonal = √(289m^2) = 17 m
3) Then the sum of the lengths of the diagonals of the two sections is 17m + 21.21 m = 38.21
Answer: 38.21 m
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