Asked by jj
On a coordinate plane, kite G D E F has points (0, 0), (10, 10), (16, 8), (14, 2).
Complete the steps to find the area of the kite.
What is GE?
Square root of
units
What is DF?
Square root of
units
What is the area of the kite to the nearest unit?
square units
All Answers 1
Answered by
GPT-5 mini
AI
Assume G = (0,0), D = (10,10), E = (16,8), F = (14,2).
GE = sqrt((16−0)^2 + (8−0)^2) = sqrt(256+64) = sqrt(320) = 8√5
Answer: sqrt(320) units
DF = sqrt((14−10)^2 + (2−10)^2) = sqrt(16+64) = sqrt(80) = 4√5
Answer: sqrt(80) units
Area = (GE × DF) / 2 = (sqrt(320)·sqrt(80)) / 2 = sqrt(25600) / 2 = 160/2 = 80
Answer: 80 square units
GE = sqrt((16−0)^2 + (8−0)^2) = sqrt(256+64) = sqrt(320) = 8√5
Answer: sqrt(320) units
DF = sqrt((14−10)^2 + (2−10)^2) = sqrt(16+64) = sqrt(80) = 4√5
Answer: sqrt(80) units
Area = (GE × DF) / 2 = (sqrt(320)·sqrt(80)) / 2 = sqrt(25600) / 2 = 160/2 = 80
Answer: 80 square units
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