First, we need to calculate the area of the original shape.
The original shape consists of a rectangle with dimensions of 8 yards in length and 7 yards in width, so the area of the original shape is:
Area = length x width
Area = 8 yards x 7 yards
Area = 56 square yards
Next, we need to calculate the area of the removed rectangle at the bottom left corner.
The removed rectangle has a width of 3 yards and an unknown length. The remaining width along the bottom right is 3 yards, so the removed rectangle has a length of:
Length = 7 yards - 3 yards - 3 yards
Length = 1 yard
Now, we can calculate the area of the removed rectangle:
Area = length x width
Area = 1 yard x 3 yards
Area = 3 square yards
Finally, we can calculate the area of the swimming pool by subtracting the area of the removed rectangle from the area of the original shape:
Area = 56 square yards - 3 square yards
Area = 53 square yards
Therefore, the area of the swimming pool is 53 square yards.
A composite shape is drawn with a rectangle and a square. All lines are straight and all corners are marked as right angles. The shape is made with a vertically aligned rectangle 8 yards in length and 7 yards in width. A horizontally aligned rectangle 3 yards wide and of unknown length is removed from the bottom left corner of the original rectangle. The remaining width along the bottom right is 3 yards.
Solve the following problem: A town has a swimming pool shaped as in the diagram.
What is the area of the swimming pool in square yards?
1 answer
1 answer