A piece of wire is shaped to enclose a square whose area is 169 cm2. It is then reshaped to enclose a rectangle whose length is 15 cm. What is the area of the rectangle?Group of answer choices170 cm2165 cm2156 cm2169 cm2
Question
A piece of wire is shaped to enclose a square whose area is 169 cm2. It is then reshaped to enclose a rectangle whose length is 15 cm. What is the area of the rectangle?Group of answer choices170 cm2165 cm2156 cm2169 cm2
Solution
To find the area of the rectangle, we need to determine the width of the rectangle.
Given that the wire is reshaped to enclose a square with an area of 169 cm^2, we can find the length of one side of the square by taking the square root of the area.
√169 = 13 cm
Since the wire is reshaped to enclose a rectangle with a length of 15 cm, we can calculate the width of the rectangle by subtracting twice the length of the square from the length of the rectangle.
Width of the rectangle = 15 cm - 2 * 13 cm = 15 cm - 26 cm = -11 cm
However, a negative width does not make sense in this context. Therefore, it is not possible to determine the area of the rectangle with the given information.
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