A rectangle counter is covered with 600 square tiles. The counter could have been covered with 400 tiles 1 cm longer on a side. Fi

A rectangle counter is covered with 600 square tiles. The counter could have been covered with 400 tiles 1 cm longer on a side. Find the length of a side of the smaller tile. Round to the nearest tenth. Could the length of a side of the smaller tile be about 4.9 cm?

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  1. Answer:4.449 is your answer . Mark it brainlist for wrinting your answer.

    Step-by-step explanation:

    no of tiles =600 square tile

    let x be the side of square tile

    area = 600 x²

    the counter could have been covered with 400 tiles 1cm longer a side

    area = 400 (x+1)²

    solving the two areas

    600x²=400(x+1)²

    600x²= 400(x² +2x +1)

    600x²-400x²-800x -400 =0

    200x²-800x -400 =0

    x²-4x-2 =0

    x²-4x+4-6 =0

    x²-4x+4 =6

    (x-2)(x-2) = 6

    (x-2)²=6

    x= 2+√6

    x=4.449cm

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