The vertical backboard located 4ft from the baseline supports the rim of the basketball net. The backboard measures 6ft wide by 4ft high. The shooter's square is a white box above the rim of the basket. It must measure 1 1/2 ft high and 2ft wide. What is the area of the portion of the backboard "excluding" the shooter's square?
6x4 - (1/2)x2
To find the area of the portion of the backboard excluding the shooter's square, we first need to find the area of the entire backboard and then subtract the area of the shooter's square.
The backboard measures 6ft wide by 4ft high, so its area is:
Area of backboard = 6ft x 4ft = 24 square feet
The shooter's square measures 2ft wide by 1 1/2 ft high, so its area is:
Area of shooter's square = 2ft x 1 1/2 ft = 3 square feet
To find the area of the portion excluding the shooter's square, we subtract the area of the shooter's square from the area of the entire backboard:
Area excluding shooter's square = Area of backboard - Area of shooter's square
= 24 square feet - 3 square feet
= 21 square feet
So, the area of the portion of the backboard excluding the shooter's square is 21 square feet.
To find the area of the portion of the backboard excluding the shooter's square, we need to calculate the area of the entire backboard and subtract the area of the shooter's square.
First, let's find the area of the backboard. The backboard measures 6ft wide by 4ft high, so the area is obtained by multiplying these dimensions:
Area of backboard = width × height
= 6ft × 4ft
= 24 square feet.
Now, let's find the area of the shooter's square. The square has a height of 1 1/2 ft and a width of 2 ft. To find the area, simply multiply these dimensions:
Area of shooter's square = width × height
= 2ft × 1 1/2ft
= 3 square feet.
Finally, we can find the area of the portion of the backboard excluding the shooter's square by subtracting the area of the shooter's square from the area of the entire backboard:
Area excluding shooter's square = Area of backboard - Area of shooter's square
= 24 square feet - 3 square feet
= 21 square feet.
Therefore, the area of the portion of the backboard excluding the shooter's square is 21 square feet.