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A triangle with base 7 cm and height 6 cm is dilated by a scale factor of 4. What will be the area of the new triangle?

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Answer:

336 square centimeters

Explanation:

The area of a triangle is given by the formula:

A = (1/2)bh, where b is the base and h is the height.

The original triangle has a base of 7 cm and a height of 6 cm, so its area is:

A = (1/2)(7 cm)(6 cm) = 21 cm^2

When the triangle is dilated by a scale factor of 4, all of its dimensions are multiplied by 4. So the new base is 4 times the original base (28 cm) and the new height is 4 times the original height (24 cm).

The area of the new triangle is:

A' = (1/2)(28 cm)(24 cm) = 336 cm^2

Therefore, the area of the new triangle is 336 square centimeters.

Hope this helps^^

User Rachelle
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