Cindy is designing a rectangular fountain in the middle of a courtyard. the rest of the courtyard will be covered in stone. the part of the courtyard that will be covered in stone has an area of 246 square feet. a. what is the width of the fountain? b. what fraction of the area of the courtyard will be occupied by the fountain?

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Courtyard: Length=22 ft; Width = 12 ft
Fountain: Length = 6 ft; Width = ?

Area of the courtyard = 22 ft * 12 ft = 264 square feet
Part of the courtyard covered with stone has an area of 246 square feet.

Area of the fountain = 264 square feet - 246 feet = 18 square feet.

A) Width of the fountain.
Area of the fountain = Length * width
18 square feet = 6 ft * w
18 sq.ft / 6ft = w
3 ft = width 

B.) Fraction of the area of the courtyard will be occupied by the fountain.

Area of the fountain: 18 square feet
Area of the courtyard: 264 square feet

18/264 = 3/44

  18 ÷ 6 =   3
264 ÷ 6 = 44