A cutting board is created with congruent light pieces and congruent dark pieces of wood, as shown in the figure. All angles are right angles.
three and three over four inches. 39 inches. 29 inches.
What is the combined area of the dark pieces of wood in square inches?
399.75 in.
877.5 in.
478.5 in.
253.5 in.
To find the combined area of the dark pieces of wood, we first need to calculate the area of one dark piece and then multiply it by the total number of dark pieces in the cutting board.
Let's assume the length of one dark piece is x inches and the width is y inches. The area of one dark piece would be x * y square inches.
From the figure, we can see that the dark pieces form a rectangle. Therefore, the length of each dark piece is the same, and the width of each dark piece is also the same.
Looking at the figure, we can see that each dark piece has a length of 3 inches and a width of 3/4 inches. Therefore, the area of one dark piece is 3 * 3/4 = 9/4 = 2.25 square inches.
Now, we need to calculate the total number of dark pieces in the cutting board. From the figure, we can see that there are 15 dark pieces in total (5 rows of 3 dark pieces each).
Therefore, the combined area of the dark pieces of wood in square inches is 15 * 2.25 = 33.75 square inches.
So, the correct answer is 33.75 in^2.