Atriangle has a perimeter of 30 cm. two sides of the triangle are each twice as long as the shortest side. find the length of the shortest side

So let the shortest side be x

Then the lenght of one long side is 2x

Therefore the perineter is 2x + 2x + x = 30

We now solve for x

2x + 2x + x = 30

5x = 30

x = 30/5

x = 6

So the lenght of the shortest side is 6cm

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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