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Mathematics

1 answer:

Andrej [43]4 years ago

4 0

The correct answer is 2.5 cm

Explanation:

In any polygon, the area refers to the total space occupied by the polygon. In the case of triangles, the area can be calculated by multiplying the base and height and then dividing the by 2. This means b x h / 2 = area of a triangle. According to this, the area of the triangle presented is 15

5 cm (base) x 6 cm (height) = 30 cm

30 cm / 2 = 15 cm (total area)

This also means the area of the rectangle is 15 considering both figures have the same area. Additionally, the area in rectangles is calculated by multiplying the length base by the width. This implies in the case presented 6 cm x w cm = 15 cm (total area), and you can determine the value of w by using a simple equation as

6 x w = 15

w = 15 / 6

w = 2.5

Also, you can know this is the correct value because 6 cm (length) x 2.5 (width) = 15 cm which is the correct area

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So, $6^{-2}= \frac{1}{6^{2}} = \frac{1}{36}$ .