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prealgebra intermediate

Problem

In the figure, each pair of consecutive sides forms a right angle. What is the area of the figure?

problem
Solution


Notice that there are two rectangular holes in the top right corner and the bottom left corner. If these holes were filled, the entire figure would be a rectangle with length inches and width inches. The area would be square inches. The area of the top right hole is square inches and the area of the bottom left hole is square inches. The area of the given figure is the area of the large rectangle minus the areas of the two holes, or square inches.
Final answer
140