total area of a magnetic chess board is 193. 21 square inches find the perimeter of the board there is another wooden chess board with each of its small square have inside 1.75 inches total 64 such squares which chess board has larger area
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a chess board is a square with 64 smaller squares.
total area of 1st chess board = 193.21 in²
area of square = side²
193.21 = a²
a = √193.21 = 13.9 in
perimeter = 4×side
p = 4a = 4×13.9 = 55.6 in
area of 1 smaller square of 2nd chess board = 1.75² = 3.0625
area of 64 such squares = 64×3.0625 = 196 in²
therefore total area of second chess board = 196 in²
as 193.31<196
so 2nd chess board has a larger area
total area of 1st chess board = 193.21 in²
area of square = side²
193.21 = a²
a = √193.21 = 13.9 in
perimeter = 4×side
p = 4a = 4×13.9 = 55.6 in
area of 1 smaller square of 2nd chess board = 1.75² = 3.0625
area of 64 such squares = 64×3.0625 = 196 in²
therefore total area of second chess board = 196 in²
as 193.31<196
so 2nd chess board has a larger area
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