-- The little block on top is 6-high by 5-wide = 30 square inches.
-- The dotted line across the middle is 5 inches long.
-- The long skinny block on the bottom is (10-6)=4-high by 12-wide = 48 inches² .
-- The height of the triangle at the end is (10-6) = 4 inches. The base of the triangle is (15 - 7 - 5) = 3 inches. The area of the triangle is (1/2)(base)(height) = 6 inches².
-- Sum of the the 3 sections = (20 + 48 + 6) = 74 square inches.
A 1 = 6 ⋅ 5 = 30 [ i n 2 ] A 2 = 2 1 ⋅ [ 15 + ( 7 + 5 )] ⋅ 4 = 2 ⋅ ( 15 + 12 ) = 2 ⋅ 27 = 54 [ i n 2 ] A = A 1 + A 2 = 30 + 54 = 84 [ i n 2 ]
To find the area of a figure, break it down into simpler shapes like rectangles and triangles, calculate their areas, and then add them together. For example, a rectangle with dimensions 5 by 3 has an area of 15 square units, and a triangle with base 4 and height 3 has an area of 6 square units, totaling 21 square units. Thus, the process involves identifying shapes, applying the area formulas, and summing them up.
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