In the figure shown, a triangle is divided into nine stripes of equal height each parallel to the same side of the triangle. The shaded stripes have a total area of 135 square units. What is the area of the triangle in square units?Options200243315280
Question
In the figure shown, a triangle is divided into nine stripes of equal height each parallel to the same side of the triangle. The shaded stripes have a total area of 135 square units. What is the area of the triangle in square units?Options200243315280
Solution
The area of the shaded stripes is 135 square units. The shaded stripes are 4 out of the 9 stripes, so they represent 4/9 of the total area of the triangle.
To find the total area of the triangle, we can set up a proportion:
4/9 = 135/x
Solving for x (the total area of the triangle), we get:
x = 135 * 9/4 = 303.75
However, this is not one of the options given. It's possible that there was a mistake in the problem or in the options provided. The closest option to 303.75 is 315, so that might be the intended answer.
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