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?
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