Final answer:
To calculate the painting charge for a triangular wall with a base of 4 yards and a height of 6 yards, calculate the area of the triangle (0.5 × base × height = 12 square yards), then multiply by the rate ($2 per square yard) to find the total charge ($24).
Step-by-step explanation:
To find the amount you will charge to paint a triangular wall with a base of 4 yards and a height of 6 yards, you need to use the formula for the area of a triangle, which is Area = 0.5 × base × height. First, you calculate the area of the triangle: Area = 0.5 × 4 yards × 6 yards. This gives you an area of 12 square yards.
Since you charge $2 per square yard to paint, the total charge will be the area multiplied by $2 per square yard. This can be represented by the equation: Charge = Area × Rate, which simplifies to Charge = 12 × $2.
Therefore, the correct equation to find the total charge is Charge = 12 yards2 × $2, which when calculated out, gives Charge = $24. There's no direct match in the options provided, but the equation that represents this calculation most closely is (a), assuming it meant to say (0.5 × 4 × 6) × 2 = x.