Question 3

The total area of the garden is 24 square meters.

The area of the garden, which is shaped as a quadrilateral divided into two right triangles, can be calculated using the formula for the area of a triangle. Each triangle has a base of 6 meters and a height of 4 meters, resulting in a total area of 24 square meters.

A) 20 square meters

This option is incorrect as it underestimates the area of the two right triangles. The area for one triangle is calculated as (base × height) / 2 = (6 × 4) / 2 = 12 square meters. Thus, the total area for two triangles would be 12 × 2 = 24 square meters, making 20 square meters an inaccurate choice.

B) 12 square meters

This option represents the area of only one of the right triangles, not accounting for both triangles that make up the quadrilateral. Since there are two triangles, their combined area is 12 × 2 = 24 square meters, confirming that 12 square meters does not represent the total area of the garden.

C) 48 square meters

This option is incorrect as it mistakenly doubles the total area calculation. The area for one triangle is 12 square meters; thus, the total for the quadrilateral formed by two triangles is 24 square meters, not 48 square meters. This option significantly overestimates the area.

D) 24 square meters

This option is correct because it accurately represents the total area of the garden. The area of one triangle is 12 square meters, and since there are two such triangles, the total area is 12 × 2 = 24 square meters.

Conclusion

The correct answer is 24 square meters, as it properly reflects the combined area of the two right triangles that constitute the quadrilateral garden. All other options fail to provide the correct total area, either by underestimating or overestimating the calculations based on the dimensions given.