Timothy has a fenced-in garden in the shape of a rhombus. the length of the longer diagonal is 24 feet, and the length of the shorter diagonal is 18 feet. what is the length of one side of the fenced-in garden? 12 ft 15 ft 21 ft 108 ft

15 feet is the length of one side of the fenced-in garden.

Step-by-step explanation:

Diagonals of rhombus bisect each at 90 degree angle.

In rhombus ABCD

OA = OC =

OB = OD =

Since, the diagonal intersect at 90 degree angle.

Applying Pythagoras theorem in  ΔAOB

AB = 15 feet = Length of side of the rhombus fenced garden

15 feet is the length of one side of the fenced-in garden.

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

answer: idk

step-by-step explanation: