Problema Solution

The area of a rectangular plank is 4500 cm². The plank was broken into two pieces, one of which is a square and the other a rectangle. Find the dimensions of the square if the length of the broken off rectangle is 120 cm.

Answer provided by our tutors

Let 'a' represent the length of the square, a>=0 then:

The length of the plank is: 120 + a

The width of the plan is: a

The area equals width*length:

a*(120 + a) = 4500

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click here to see the equation solved for a

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a = 30 cm

The dimension of the square is 30 cm.