Math  /  Geometry

QuestionA rectangular region is removed from another rectangular region to create the shaded regions shown below. Find the combined area of the shaded regions. \square ft2\mathrm{ft}^{2}

Studdy Solution
Subtract the area of the smaller rectangle from the area of the large rectangle to find the combined area of the shaded regions:
Areashaded=ArealargeAreasmall \text{Area}_{\text{shaded}} = \text{Area}_{\text{large}} - \text{Area}_{\text{small}} =98 ft221 ft2 = 98 \text{ ft}^2 - 21 \text{ ft}^2
Areashaded=77 ft2 \text{Area}_{\text{shaded}} = 77 \text{ ft}^2
The combined area of the shaded regions is:
77 ft2 \boxed{77 \text{ ft}^2}

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