Problem

2. To make cherry turnovers, a cook cuts the dough into triangles with a base of 6 inches and a height of 3 inches. How many turnovers can be cut from a rectangular piece of dough 12 inches wide and 18 inches long? Assume that all the dough is used.
turnovers

Answer

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Answer

Final Answer: The cook can cut \(\boxed{24}\) turnovers from the rectangular piece of dough.

Steps

Step 1 :The area of each turnover is given by the formula for the area of a triangle, which is \(\frac{1}{2} \times \text{base} \times \text{height}\). In this case, the base is 6 inches and the height is 3 inches, so the area of each turnover is \(\frac{1}{2} \times 6 \times 3 = 9 \text{ square inches}\).

Step 2 :The area of the rectangular piece of dough is given by the formula for the area of a rectangle, which is \(\text{length} \times \text{width}\). In this case, the length is 18 inches and the width is 12 inches, so the area of the dough is \(18 \times 12 = 216 \text{ square inches}\).

Step 3 :The number of turnovers that can be cut from the dough is the area of the dough divided by the area of each turnover. So, \(\frac{216}{9} = 24\).

Step 4 :Final Answer: The cook can cut \(\boxed{24}\) turnovers from the rectangular piece of dough.

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