Question

A parallelogram has a base of 6ft and a height of 7ft. A triangle has a base of 8ft and a height of 6ft. Which statement is TRUE?(1 point)
Responses

The parallelogram has a greater area.
The parallelogram has a greater area.

The triangle has a greater area.
The triangle has a greater area.

Both shapes have the same area.

Answer 1

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.**