To determine which shape has a greater area, we can calculate the areas of both the parallelogram and the triangle.
-
Area of the Parallelogram: \[ \text{Area} = \text{base} \times \text{height} = 6 , \text{cm} \times 3 , \text{cm} = 18 , \text{cm}^2 \]
-
Area of the Triangle: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 9 , \text{cm} \times 4 , \text{cm} = \frac{1}{2} \times 36 , \text{cm}^2 = 18 , \text{cm}^2 \]
Both the parallelogram and the triangle have the same area of 18 cm².
Thus, the correct statement is: Both shapes have the same area.
9 answers