Question - Calculating Area of Right Triangle
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Solution:
The image shows a shape composed of a rectangle in the middle and two right triangles on its sides. The rectangle has a width of 8 units and a length of 11 units. The triangles share the width of the rectangle for one of their sides, which is 8 units.The area of a triangle is given by the formula:\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]In the case of one of the right triangles, the base can be taken as the side that is the same length as the width of the rectangle, which is 8 units. The height is not given, but because the triangles are right triangles, their height will be the same as the height of the rectangle, which is also 8 units.So, the area of one of the triangles is:\[ \text{Area} = \frac{1}{2} \times 8 \times 8 \]\[ \text{Area} = \frac{1}{2} \times 64 \]\[ \text{Area} = 32 \]It seems there might be an error in the provided answers, as none of them match the calculated area of 32. Please double-check the question or information provided to ensure that these are indeed the values you are meant to use.
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