A rectangular parking lot measures 120 feet by 80 feet. In one corner of the parking lot, there is a triangular no-parking zone with a base of 40 feet and a height of 30 feet. In another corner of the parking lot there is a square area reserved for motorcycles, with a side length of 15 feet. What is the remaining area in the parking lot,available for cars, in square feet? The remaining area, in square feet, is type your answer...

1. Calculate the total area of the parking lot<br /> The total area is calculated using the formula for the area of a rectangle: **$A = \text{length} \times \text{width}$**. So, $A = 120 \times 80 = 9600$ square feet.<br /><br />2. Calculate the area of the triangular no-parking zone<br /> Use the formula for the area of a triangle: **$A = \frac{1}{2} \times \text{base} \times \text{height}$**. Thus, $A = \frac{1}{2} \times 40 \times 30 = 600$ square feet.<br /><br />3. Calculate the area of the square reserved for motorcycles<br /> Use the formula for the area of a square: **$A = \text{side}^2$**. Therefore, $A = 15^2 = 225$ square feet.<br /><br />4. Calculate the remaining area available for cars<br /> Subtract the areas of the triangular and square zones from the total area: $9600 - 600 - 225 = 8775$ square feet.