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Thepotemich [5.8K]
3 years ago
13

A and B are two similar 2D shapes

Mathematics
1 answer:
Alexandra [31]3 years ago
7 0

Answer: 312.5\ cm^2

Step-by-step explanation:

Given

A and B are two similar shape with  lengths of 12 cm and 15 cm

A has an area of 200\ cm^2

For similar figures, ratio of the square of corresponding length is equal to the ratio of the area

\Rightarrow \dfrac{200}{A_b}=\dfrac{12^2}{15^2}\\\\\Rightarrow A_b=\dfrac{15^2}{12^2}\times 200\\\\\Rightarrow A_b=312.5\ cm^2

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Your team wins 18 medals at a competition. The metals are gold, silver, and bronze in a ratio of 2:4:3. How many of each metal d
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Answer

Find out the how many of each metal did your team win.

To prove

As given

Your team wins 18 medals at a competition.

The metals are gold, silver, and bronze in a ratio of 2:4:3.

Let us assume that x be the scalar multiple of the gold, silver and bronze medal.

Thus

Number of gold medal = 2x

Number of silver medal = 4x

Number of bronze medal = 3x

Than the equation becomes

2x + 4x + 3x = 18

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x = \frac{18}{9}

x = 2

Number of gold medal = 2 × 2

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Number of silver medal = 4 × 2

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Number of bronze medal = 3 × 2

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Therefore the number of gold medal are 4, silver medal are 8, bronze medal are 6.

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