Final answer:
The expression that represents the area of a triangle in square feet, according to the formula 1/2 × base × height, is 1/2(48)(9), which corresponds to Option A.
Step-by-step explanation:
The question is asking for the expression which represents the area of a triangle in square feet. To find the area of a triangle, we use the formula 1/2 × base × height. Out of the given options:
- A. 1/2(48)(9) correctly uses the formula; it is 1/2 multiplied by the base (48) and the height (9), which gives the area in square feet.
- B. 1/2(6+8)(9) adds two quantities before multiplying by the height, which does not correspond to the formula for the area of a triangle.
- C. (149)/2 does not represent the area of a triangle as there are no measurements for base or height.
- D. 1/2(69) + 1/2(8*9) involves a sum of two separate areas which is not how triangle area is calculated.
- E. (6)(9)+(8)(9)/2 suggests an addition of areas, not a multiplication of base and height.
Therefore, the correct answer is Option A. when applying the formula for area of a triangle, which considers only base and height.