Kierra draws a triangle with a base of 10 cm and a height of 15 cm. She dilates the triangle using a scale factor of 45 . Then, Kierra finds the difference between the two areas by subtracting. How much greater is the area of the original triangle than the area of the dilated triangle?(1 point)

Question

Create a visually appealing image of a larger triangle, colored in a pastel tone, with a base of 10 cm and height of 15 cm sitting next to a smaller, dilated triangle that is visibly 45% smaller. The scene must be set against a muted background, with no text depicted. Implicitly express the difference between the two areas via the vast contrast between the size of the two triangles.

Kierra draws a triangle with a base of 10 cm and a height of 15 cm. She dilates the triangle using a scale factor of 45 . Then, Kierra finds the difference between the two areas by subtracting. How much greater is the area of the original triangle than the area of the dilated triangle?(1 point)

Responses

27 cm2
27 cm squared

75 cm2
75 cm squared

48 cm2
48 cm squared

54 cm2

Answer 1

To find the area of the original triangle, we can use the formula for the area of a triangle:

Area = (base * height) / 2

Substituting in the given values:
Area = (10 cm * 15 cm) / 2 = 150 cm²

To find the area of the dilated triangle, we need to multiply the scale factor (45) by the original area:

Dilated Area = Scale Factor * Original Area = 45 * 150 cm² = 6750 cm²

To find the difference between the two areas, we subtract the dilated area from the original area:

Difference = Original Area - Dilated Area = 150 cm² - 6750 cm² = -6600 cm²

However, the area cannot be negative, so there seems to be an error in the calculation. Please double-check the given values and the question.