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5 January, 02:09

A rectangle has the original dimensions of 25 in by 175 in. A scale factor of 0.5 is applied to enlarge the figure. What is the area and perimeter of the original figure? What is the area and perimeter of the new figure?

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  1. 5 January, 02:11
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    So we can easily calculate the area by multiplying both of them. That will give us an answer of 4375. Then we don't have to add the sides. So we can use my formula P = 2 (w+h), not P = w+h+w+h. So we add them and we get 200. Multiply by 2 and get 400. Now we multiply by 0.5 on both. But here's the catch, we dont need to multiply the sides

    we used a formula for perimeter which is 2 (w+h). If you multiply that by 0.5 around the parenthesis it will also multiply each factor inside by 0.5

    So to get perimeter we can get 200. Not for area, we need to multiply by 0.5 on each of the numbers. Then if we get area we get 1093.75.

    Answer:First rect: Area: 4375First rect: Perimeter: 400Second rect: Area: 1093.75Second rect: Perimeter: 200
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