# Two figures have a similarity ratio of 3:7. If the area of the larger figure is 294 cm what is the area of the smaller figure?

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If the similarity ratio between the two figures is 3:7, then the ratio of their areas is the square of this ratio, which is (3/7)^2 = 9/49.

Given that the area of the larger figure is 294 cm^2, we can find the area of the smaller figure by multiplying the area of the larger figure by the ratio of their areas:

Area of smaller figure = (Area of larger figure) * (Ratio of areas) = 294 cm^2 * (9/49) = 54 cm^2.

So, the area of the smaller figure is 54 square centimeters.

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If the similarity ratio of two figures is 3:7, then the ratio of their areas is the square of the similarity ratio.

Given that the area of the larger figure is 294 cm², and the similarity ratio is 3:7, we can set up the proportion:

[ \frac{\text{Area of larger figure}}{\text{Area of smaller figure}} = \left(\frac{\text{larger figure ratio}}{\text{smaller figure ratio}}\right)^2 ]

[ \frac{294}{\text{Area of smaller figure}} = \left(\frac{7}{3}\right)^2 ]

[ \frac{294}{\text{Area of smaller figure}} = \left(\frac{49}{9}\right) ]

To find the area of the smaller figure, solve for the area:

[ \text{Area of smaller figure} = \frac{294 \times 9}{49} ]

[ \text{Area of smaller figure} = \frac{2646}{49} ]

[ \text{Area of smaller figure} \approx 54 , \text{cm}^2 ]

Therefore, the area of the smaller figure is approximately 54 cm².

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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