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45 votes
45 votes
Find the area of the shaded figure. 6 1 1 2 3 4 5 6 7 8 9 10 11 12 ( ? ) square units Enter

User Rob Moll
by
2.8k points

1 Answer

15 votes
15 votes

The figure appears to be a rectangle with a part being cut off in a rectangular shape as well.

To be able to get the area of the shaded figure, we subtract the area of the big rectangle as a whole by the area of the rectangular cut part.

Given:

Dimension of the shaded rectangle (Whole),

Length = Dx = 12 - 2 = 10 Units

Width = Dy = 8 - 1 = 7 Units

Dimension of the unshaded part,

Length = Dx = 10 - 4 = 6 Units

Width = Dy = 3 - 1 = 2 Units

Let's now determine the area of the shaded part:


\text{ Area}_(SHADED)\text{ = (10 x 7) - (6 x 2)}
\text{ = 70 - 12}
\text{ Area}_(SHADED)\text{ = 58 Units}^2

Therefore, the area of the shaded figure is 58 squared units.

User Kosuke Ogawa
by
3.2k points