The table top of a table is 6m in length and 4m in width. The area of the tablecloth is twice that of the table top. If the tablecloth is laid on the table, the length of each side is the same. Find the length and width of the tablecloth

The table top of a table is 6m in length and 4m in width. The area of the tablecloth is twice that of the table top. If the tablecloth is laid on the table, the length of each side is the same. Find the length and width of the tablecloth


Let the length of each side of the tablecloth be XM. According to the meaning of the problem, we get (6 + 2x) (4 + 2x) = 2 × 4 × 6. The solution is X1 = - 6 (not suitable for the meaning of the problem, omit), X2 = 1, so 6 + 2x = 8, 4 + 2x = 6. Answer: the length and width of this tablecloth are 8m and 6m respectively