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Anonymous
Anonymous asked in Science & MathematicsMathematics · 2 months ago

# the olympieion temple in athens has a rectangular base with a perimeter of 300 m and an area of 440 m^2. What are the dimensions of the base?

### 2 Answers

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• area = LW = 440

perimeter = 2L + 2W = 300

L = 440/W

2L + 2W = 300

2(440/W) + 2W = 300

2(440/W) + 2W = 300

440/W + W = 150

440 + W² – 150W = 0

W² – 150W + 440  = 0

W = 75 ± √5185

W = 75 ± 72

W = 147, 3

L = 3, 147 m

dimensions are 3 x 147 m

• I think you meant the area is 4400 m^2.  Then the dimensions are 110m x 50m.

If the area is really only 440 m^2, the dimensions are something like

148m x 3m (though that isn't exactly right).

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