Question

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

Answer 1

the answer is actually 38.2 on edg.

Explanation:

Answer 2

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