Question

At another park in Chicago, neighbors get together to plan a community garden. Plans for the community garden are shown below. celery tomatoes 6 yds spinach carrots watermelon 12 yds red peppers 8 yds a) The members of the gardening group plan to build a walkway through the garden as formed by the hypotenuse of each of the four triangles in the drawing. That way, the gardeners will be able to access all sections of the garden. Calculate the length of the entire walkway to the nearest hundredth of a yard. Show your work. (4 points-1 point for each length calculation and 1 point for the total distance) *** 15 yds​

Answer 1

we can use the pythagorean theorem to each of those right triangles to find the lengths of the pathways

Explanation:

for the spinach celery walkway,

d=
`\sqrt{6^(2)+8^(2)` = 10 yd

for each watermelon walkway,

d=
`\sqrt{8^(2)+12^(2)` = 14.42 yd

from the carrots red peppers walkway,

`b^(2)+12^(2) = 15^(2)`

b=
`\sqrt{15^(2)-12^(2)`= 9yd

for each tomatoes walkway;

d=
`\sqrt{6^(2)+9^(2)` = 10.82 yd

so the total length of the walkway is = 10+14.42+15+10.82 = 50.24 yd