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
2 answers:
the picture in the attached figure
Applying the Pythagorean Theorem
Find the lengths of the two sidewalks
Step 1
square section
D=√{15²+15²}
D=√450 m
D=21.21 m
Step 2
rectangular section
D=√{15²+8²}
D=√289 m
D=17 m
Step 3
the sum of the lengths of the diagonals of the two sections is
17m + 21.21 m = 38.21 m
the answer is
38.2 m
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