If area of a square garden is 114m², find the lenghth of the garden .​

10.7m (3 s.f.)

Step-by-step explanation:

Since it is a square garden, the lengths of the garden are equal.

Area = 114m²

Length = m²

            = 10.7m (3 s.f.)

So, length of garden is 12m

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+

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