The top of a square table is inlaid with marble in the form of an octagon of side 10dm. If the length of the side of the table is 24dm. Find the area of the marble inlay. Also find the total area of the four triangular portion
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Side of a triangle = (24 - 10)/2 = 7
Area of one triangle = (1/2) * 7 * 7
= 49/2
Area of 4 Triangle = 4 * 49/2
= 98 dm²
total area of the four triangular portions = 98 dm²
Area of Table = 24 * 24
= 576 dm²
Area of Octagon Marble lay = 576 - 98
= 478 dm²
area of the marble inlay. = 478 dm²
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