Find the area of each shaded region?

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1 Answer
Sep 28, 2017

#=47 1/64# square units

Explanation:

Rather than dividing the shape into two separate areas and then adding them together, you can regard it as a big square which has had a square cut out of the corner.

The area is is then calculated by subtracting:

Area big square - area small square

#6 7/8 xx6 7/8 - 1/2xx1/2#

#= 55/8 xx55/8 -1/4#

#=3025/64 -16/64" "larr# make the denominators the same

#=3009/64#

#=47 1/64# square units