Question

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 portions

Answer 1

total area of the four triangular portions = 98 dm² , area of the marble inlay. = 478 dm²  

Step-by-step explanation:

refer picture :

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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