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If the dimensions of a figure are multiplied by 5, how many times larger will the surface area be?

If the dimensions of a figure are multiplied by 5, how many times larger will the surface area be? A) 5 times larger
B) 125 times larger
C) 25 times larger
D) 2 times larger

Final answer:When the dimensions of a figure are multiplied by 5, the surface area becomes 25 times larger because the scale factor squared (5^2) is applied to the original area.Explanation:If the dimensions of a figure are multiplied by 5, the surface area will increase by the scale factor squared. This is because surface area is a two-dimensional measurement, and each dimension of the figure is being scaled by 5.For example, suppose that we have a square with a side lengths. The area of the square issxs, which iss^2. If we multiply the side length by 5, the new side length becomes 5s. The new area will then be (5s) x (5s) = 25s^2. As you can see, the new area is 25 times larger than the original area.Applying this rule, if a figure's dimensions are multiplied by 5, the surface area becomes 5^2, or 25, times larger. So the correct answer is C) 25 times larger....

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