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What would be the length and width of a rectangle if the perimeter was 34 meters and the area was 72 centimeters square?
Wiki User
∙ 12y ago
Suppose the Length is L centimetres and the Width W is W centimetres.
Then the area = 72 cm2 implies that L*W = 72 so that W = 72/L cm
Also, perimetre = 34 metres = 3400 centimetres.
So 2(L + W) = 3400 or L + W = 1700
Substituting for W, L +72/L = 1700
Multiply through by L : L2 + 72 = 1700L
or, L2 - 1700L + 72 = 0
Using the quadratic formula to solve this equation gives L = 1699.958 cm and
W = 0.042 cm (to 3 dp).
The other root simply swaps the values of L and W.
Wiki User
∙ 12y ago
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