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The area of a rectangular ballroom is 800 m squared and the perimeter is 120 m What are the dimensions of the ballroom?
Wiki User
∙ 11y ago
Perimeter = 2*(L + B) = 120
So L + B = 60 and therefore B = 60 - L.
Area = 800 = L*B = L*(60 - L)
So L2 - 60L + 800 = 0
=> (L - 20)*(L - 40) = 0
and so L = 20 or L = 40
When L = 20, B = 40 and
when L = 40, B = 20.
So the dimensions are 40m x 20m.
Wiki User
∙ 11y ago
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