A stained glass window has an area of 900 square inches.
A. Once a window design is made of rectangular pieces that are 5 inches by 3 inches. How many stained glass pieces are used in the window?
B. Another window design is made of square stained glass pieces that are 6 inches by 6 inches. How many stained glass pieces are used in the window?
A. One piece is 15 in^2. 900/15 = 60 pieces
B. use the same logic with sides of 6"
That assumes that the window has dimensions that are divisible by the pieces'
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To find the number of stained glass pieces used in each window design, we need to determine the number of pieces that can fit into the total area of the window.
A. For rectangular pieces measuring 5 inches by 3 inches, we can calculate the number of pieces by dividing the total area of the window (900 square inches) by the area of one piece (5 inches by 3 inches).
The area of one rectangular piece is calculated by multiplying the length and the width, which gives us 5 inches * 3 inches = 15 square inches.
To find the number of pieces, we divide the total area of the window by the area of one piece: 900 square inches / 15 square inches = 60 pieces.
Therefore, the stained glass window design with rectangular pieces of 5 inches by 3 inches requires a total of 60 pieces.
B. For square pieces measuring 6 inches by 6 inches, the process is similar. We calculate the area of one square piece by multiplying one side by another side: 6 inches * 6 inches = 36 square inches.
Next, we divide the total area of the window (900 square inches) by the area of one piece (36 square inches): 900 square inches / 36 square inches = 25 pieces.
Therefore, the stained glass window design with square pieces of 6 inches by 6 inches requires a total of 25 pieces.