SOLUTION: Two gardens are being fenced in. Both gardens will require the same amount of fencing​ (both gardens have the same perimeter in​ meters). One garden is in the shape of a squa

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Question 1197003: Two gardens are being fenced in. Both gardens will require the same amount of fencing​ (both gardens have the same perimeter in​ meters). One garden is in the shape of a square and the other is in the shape of an equilateral triangle. Each side of the triangle is 1 longer than each side of the square. Find the dimensions of the garden.
Found 2 solutions by MathLover1, ewatrrr:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let the side of square be a
the perimeter will be P=4a

if each side of the triangle is 1 longer than each side of the square, than the side of triangle is a%2B1

the perimeter will be P=3%28a%2B1%29

if both gardens have the same perimeter, than we have

4a=3%28a%2B1%29
4a=3a%2B3
4a-3a=3
a=3->the side of square
then
a%2B1=3%2B1=4-> the side of triangle

so, dimension of square = 3m, and dimension of equilateral triangle =4m

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi  
Two gardens are being fenced in ((both gardens have the same perimeter in​ meters)
One garden is in the shape of a square and the other is in the shape of an equilateral triangle
Each side of the triangle is 1 longer than each side of the square s
Find the dimensions of the garden.
P%5Bsquare%5D+=+P%5Bequilateral+triangle%5D+
          4s = 3(s+1)
            s = 3m is the length of each side of the square
           (s+1) = 4m is the length of each side of the triangle  
checking our work:
 4(3m) = 3(4m)  checks
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