Questions: A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.

A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.
Transcript text: A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.
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Solution

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Solution Steps

Step 1: Find the area of the large triangle.

The large triangle has a base of 4m and a height of 6m. The area of a triangle is calculated as (1/2) * base * height. Therefore, the area of the large triangle is (1/2) * 4m * 6m = 12m².

Step 2: Find the area of the rectangle.

The rectangle has a length of 5m and a width of 2m. The area of a rectangle is calculated as length * width. Therefore, the area of the rectangle is 5m * 2m = 10m².

Step 3: Find the area of the shaded region.

The shaded region is the large triangle with the rectangle removed. So, the area of the shaded region is the area of the large triangle minus the area of the rectangle. This is 12m² - 10m² = 2m².

Final Answer: The area of the shaded region is 2m².

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