To find the area of both the parallelogram and the triangle, we can use the following formulas:
Area of a parallelogram = base × height
Area of a triangle = (base × height) / 2
For the parallelogram:
- Base = 6 ft
- Height = 7 ft
- Area = 6 ft × 7 ft = 42 ft²
For the triangle:
- Base = 8 ft
- Height = 6 ft
- Area = (8 ft × 6 ft) / 2 = 48 ft² / 2 = 24 ft²
Now we can compare the areas:
- Area of the parallelogram = 42 ft²
- Area of the triangle = 24 ft²
Since 42 ft² (parallelogram) is greater than 24 ft² (triangle), the TRUE statement is:
The parallelogram has a greater area.