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


A rectangle is shown 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.

2(12 × 4) = 96 square feet

1 over 2.(12 × 4) = 24 square feet

2(12 + 4) = 32 square feet

1 over 2.(4 + 12) = 8 square feet

Verified Answer :

kingdonald1

2nd one, take area of whole 12 x 4=48, if area is equally divided, divide area by 2 or multiply by 1/2

Answer:

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 = \(\frac{1}{2} \times(12 \times 4)\)

                                         \(=\frac{1}{2} \times(48)\)

                                           \(=24\) ft²

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

Option (2) is correct.

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