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The sides of each square have a length of 3 inches. what is the perimeter of Edgar's check boar​

The sides of each square have a length of 3 inches. what is the perimeter of Edgar-example-1
User Jiminy
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1 Answer

3 votes

Answer:

(b) 96 inches

Explanation:

The perimeter of the board is the sum of its four edge lengths.

Edge length

Each edge of the board is indicated as being 8 squares long. Each square is 3 inches on a side, so the edge of the board is ...

8 × (3 in) = 24 in . . . . board edge length

Perimeter

The perimeter of the board is 4 times the length of one edge, so is ...

P =4s = 4(24 in) = 96 in

The perimeter of Edgar's checkerboard is 96 inches.

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Scaled geometry (alternate solution)

The perimeter of one small square on the board is ...

P = 4s = 4(3 in) = 12 in

The whole board is a dilation of one square by a factor of 8. Its perimeter will be ...

P' = (scale factor) × P

P' = 8×(12 in) = 96 in

The perimeter of Edgar's checkerboard is 96 inches.

User Bryanzpope
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