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Find the area of the blue shaded region in the figure.
The numbers are 6in 10in 25in 18in

1 answer

To find the area of the blue shaded region, we first need to find the area of the entire rectangle and then subtract the areas of the two unshaded rectangles that make up the blue shaded region.

The dimensions of the rectangle are given as 25in (length) and 18in (width). Therefore, the area of the entire rectangle is:
Area = length * width
Area = 25in * 18in
Area = 450 square inches

Next, we need to find the areas of the two unshaded rectangles. One of the unshaded rectangles has dimensions 6in (length) and 10in (width), and the other has dimensions 18in (length) and 10in (width). Therefore, the areas of these two unshaded rectangles are:
Area1 = 6in * 10in = 60 square inches
Area2 = 18in * 10in = 180 square inches

Now, to find the area of the blue shaded region, we subtract the sum of the areas of the two unshaded rectangles from the area of the entire rectangle:
Blue shaded area = 450 square inches - (60 square inches + 180 square inches)
Blue shaded area = 450 square inches - 240 square inches
Blue shaded area = 210 square inches

Therefore, the area of the blue shaded region is 210 square inches.