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Base of a triangle is 99 and height is 55. Base of another triangle is 1010 and height is 66. Find the ratio of areas of these triangles.

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Q. Base of a triangle is 99 and height is 55. Base of another triangle is 1010 and height is 66. Find the ratio of areas of these triangles.
  1. Calculate Area of First Triangle: First, let's find the area of the first triangle using the formula for the area of a triangle, which is (base×height)/2(\text{base} \times \text{height}) / 2.\newlineArea of first triangle = (9×5)/2(9 \times 5) / 2.
  2. Find Area of Second Triangle: Now, let's calculate that.\newlineArea of first triangle = 452=22.5\frac{45}{2} = 22.5.
  3. Calculate Ratio: Next, we'll find the area of the second triangle using the same formula.\newlineArea of second triangle = (10×6)/2(10 \times 6) / 2.
  4. Calculate Ratio: Next, we'll find the area of the second triangle using the same formula.\newlineArea of second triangle = (10×6)/2(10 \times 6) / 2.Let's do the math for the second triangle.\newlineArea of second triangle = 60/2=3060 / 2 = 30.
  5. Calculate Ratio: Next, we'll find the area of the second triangle using the same formula.\newlineArea of second triangle = (10×6)/2(10 \times 6) / 2.Let's do the math for the second triangle.\newlineArea of second triangle = 60/2=3060 / 2 = 30.Finally, we'll find the ratio of the two areas.\newlineRatio = Area of first triangle / Area of second triangle.
  6. Calculate Ratio: Next, we'll find the area of the second triangle using the same formula.\newlineArea of second triangle = (10×6)/2(10 \times 6) / 2.Let's do the math for the second triangle.\newlineArea of second triangle = 60/2=3060 / 2 = 30.Finally, we'll find the ratio of the two areas.\newlineRatio = Area of first triangle / Area of second triangle.Now, we'll plug in the values we found.\newlineRatio = 22.5/3022.5 / 30.
  7. Calculate Ratio: Next, we'll find the area of the second triangle using the same formula.\newlineArea of second triangle = (10×6)/2(10 \times 6) / 2.Let's do the math for the second triangle.\newlineArea of second triangle = 60/2=3060 / 2 = 30.Finally, we'll find the ratio of the two areas.\newlineRatio = Area of first triangle / Area of second triangle.Now, we'll plug in the values we found.\newlineRatio = 22.5/3022.5 / 30.Simplify the ratio to its simplest form.\newlineRatio = 3/43/4.

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