The area of the part of the tablecloth that hangs over the table is 285 square inches
Step-by-step explanation:
In order to find the area of table cloth that hangs over the table, we have to find the area of table and the total area of table cloth.
Given
Area of table = [tex]A_t = 2116\ in^2[/tex]
To find the side of the square
[tex]A_t = s^2\\s^2 = 2116[/tex]
Taking Square root on both sides
[tex]\sqrt{s^2} = \sqrt{2116}\\s = 46\ inches[/tex]
When the table cloth is hanged, 3 inches are left to hang over this means that the side will now be: 46+3 = 49 inches
The area of table cloth = [tex]A_c = 49*49 = 2401\ in^2[/tex]
The area of table cloth that will be hung over the table is:
[tex]A_c-A_t\\= 2401-2116\\= 285\ in^2[/tex]
Hence,
The area of the part of the tablecloth that hangs over the table is 285 square inches
Keywords: Square, side
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