Tony began putting together a rectangular puzzle. He completed the top edge of the puzzle as shown below. Each piece is a square that has a side length of 2.5 centimeters
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The complete question is,
Tony began putting together a rectangular puzzle. He completed the top edge of the puzzle as shown below. Each piece is a square that has a side length of 2.5 centimeters.
What is the total area, in square centimeters, of the completed puzzle.
The required diagram is attached below.
Given,
Tony began putting together a rectangular puzzle.
He completed the top edge of the puzzle as shown below.
Each piece is a square that has a side length of 2.5 centimeters.
Therefore, the completed puzzle has,
= 6 × 7 squares
= 42 squares.
From given, we have, the side of a square = 2.5 cm.
The area of a square = A = a²
Therefore, the area of the completed puzzle is given as follows,
= 42 × Area of the square
= 42 × a²
= 42 × 2.5²
= 42 × 6.25
= 262.5 cm²
Therefore, the area of the completed puzzle is 262.5 cm²