Which equation can be used to calculate the area of the shaded triangle in the figure below?

A rectangle with length of 12 feet and width 4 feet. A diagonal cuts the rectangle into two halves. One of the triangular halves is shaded.

2(12 + 4) = 32
fraction 1 over 2(12 + 4) = 8
2(12 × 4) = 96
fraction 1 over 2(12 × 4) = 24

Option (2) is correct.

Area of shaded region is \frac{1}{2} \times(12 \times 4)=24 \text{square feet}

Step-by-step explanation:

As per the given information, figure below shows a rectangle with a width of 4 ft and a length of 12 ft. There is a diagonal line through the rectangle, and the bottom half is shaded in grey.

Area of rectangle = Length × width

Area of given rectangle = 12 × 4 = 48 ft²

Since we have to find the area of shaded region which is half of the area of whole rectangle as diagonal divide the rectangle into two equal triangles.

Thus, area of shaded region is half the area of rectangle.

AREA OF SHADED REGION =

                                           ft²

thus, area of shaded region is

Option (2) is correct.

Hope it helps!

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