The area in square feet of ΔGHI is 72 ft²
Since HL = 16 ft, GL = 6 ft, LI = 8 ft, and GI = 10 ft.
Area of ΔGHI = area of ΔGHL + area of ΔGLI
area of ΔGHL = 1/2 GL × HL
area of ΔGHL = 1/2 × 6 ft × 16 ft
area of ΔGHL = 3 ft × 16 ft
area of ΔGHL = 48 ft²
area of ΔGLI = 1/2 GL × LI
area of ΔGLI = 1/2 × 6 ft × 8 ft
area of ΔGLI = 3 ft × 8 ft
area of ΔGLI = 24 ft²
So, Area of ΔGHI = area of ΔGHL + area of ΔGLI
Area of ΔGHI = 48 ft² + 24 ft²
Area of ΔGHI = 72 ft²
So, area in square feet of ΔGHI is 72 ft²
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