Question

Use the scale factor to find the area of the enlarged figure. Explain your steps.

Answer 1

well if you divide 25.6 by 8 and then multiply four by that answer then you have the answer for a, so 4 times 3.2=12.8 , and then you would multiply 25.6 and 12.8 which is 327.68

Answer 2

The area of the enlarged figure will be 327.68 square units

The scale factor will be the ratio of the similar sides of a rectangle.

For the given triangles, the required scale factors will be expressed as:

$\frac{4}{8} =\frac{a}{25.6}\\\frac{1}{2} =\frac{a}{25.6}\\2a = 25.6\\a=\frac{25.6}{2} \\a=12.8$

Next is to get the area of the bigger rectangle:

$Area = Length \times Width\\Area=a\times 25.6\\Area=12.8\times 25.6\\Area=327.68 units^2$

Hence the area of the enlarged figure will be 327.68 square units

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