15.
Two rectangles were used to form the following figure. Use the ruler provided to measure the dimensions of the figure to the nearest quarter of an inch.
Which measurement is closest to the area of the shaded region of this figure in square inches?
The dimensions of the figure are:
Length: 4.75 inches
Width: 2.5 inches
To find the area of the shaded region, we first need to find the total area of the figure.
Total area = length x width
Total area = 4.75 inches x 2.5 inches
Total area = 11.875 square inches
Next, we need to find the area of the two rectangles that formed the figure.
Rectangle 1:
Length: 4.75 inches
Width: 1 inch
Area = 4.75 inches x 1 inch = 4.75 square inches
Rectangle 2:
Length: 3 inches
Width: 2.5 inches
Area = 3 inches x 2.5 inches = 7.5 square inches
Total area of the shaded region = Total area - (area of Rectangle 1 + area of Rectangle 2)
Total area of the shaded region = 11.875 square inches - (4.75 square inches + 7.5 square inches)
Total area of the shaded region = 11.875 square inches - 12.25 square inches
Total area of the shaded region = -0.375 square inches
Since area cannot be negative, the closest measurement to the area of the shaded region in square inches is 0 square inches.