A garden is designed in the shape of a quadrilateral. The garden can be divided into two right triangles, each with the base of 6 meters and height of 4 meters. Which of the following is the total area of the garden in square meters?

Rationale

The total area of the garden is 24 square meters.

The area of a triangle is calculated using the formula (1/2) × base × height. In this case, each right triangle has a base of 6 meters and a height of 4 meters, resulting in an area of 12 square meters per triangle. Since the garden consists of two such triangles, the total area is 12 + 12 = 24 square meters.

A (20 square meters) YOUR ANSWER

This option incorrectly assumes a different calculation of area. The area of the triangles was calculated based on the given base and height, leading to a total area of 24 square meters, not 20. This choice may arise from a miscalculation of the area.

B (12 square meters) YOUR ANSWER

This choice represents the area of only one triangle, rather than the total area of the garden. Since the garden consists of two identical triangles, their combined area must be calculated, which results in a total of 24 square meters, not merely 12.

C (48 square meters) YOUR ANSWER

This option suggests that the area is four times larger than the correct area. The miscalculation could stem from incorrectly applying the area formula or misunderstanding the dimensions or number of triangles involved. The actual area, based on two triangles, is 24 square meters.

D (24 square meters) CORRECT

This is the correct total area of the garden. The area is derived from calculating the area of each triangle (1/2 × 6 × 4 = 12) multiplied by the two triangles, resulting in 12 + 12 = 24 square meters.

Conclusion

The area of the garden, composed of two right triangles with dimensions of 6 meters base and 4 meters height each, totals 24 square meters. This calculation emphasizes the use of the area formula for triangles and reinforces the understanding that the sum of the areas of the individual triangles yields the overall area of the quadrilateral garden.

A garden is designed in the shape of a quadrilateral. The garden can be divided into two right triangles, each with the base of 6 meters and height of 4 meters. Which of the following is the total area of the garden in square meters?

The total area of the garden is 24 square meters.

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