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What is the area of the shaded region?
(lemmy.world)
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It is symmetrical across the diagonal so we will only look at the top left quarter, then multiply by 2 when we are done. Because it is 1/4 of the rectangle it has area 1/4 of the original. 1/4 x 8x5 = 10. This leaves two right triangles and the grey area. The top right triangle has a base of (8/2)-1=3 And height of 5/2=2.5 Area = 1/2 x 3 x 2.5 = 3.75 The bottom left triangle has height of (5/2)-1=1.5 And base of 8/2=4 Area = 1/2 x 1.5 x 4 = 3 Top left grey area is the area of the the quarter minus the areas of the two right triangles = 10 - 3.75 - 3 = 3.25 There are two of these gray areas so final answer is 2 x 3.25 = 6.5