Asked by Sam
The right triangle below is dilated by a scale factor of one quarter
4
1
. Find the perimeter and area of the right triangle below, as well as the perimeter and area of the dilated right triangle. Express your answers as whole numbers, decimals, or fractions in simplest terms (no mixed numbers). Figures are not necessarily drawn to scale.
42
56
70
Answer
Attempt 1 out of 2
Perimeter of given right triangle
unitsPerimeter of dilated right triangle
units
Area of given right triangle
units2Area of dilated right triangle
units2
All Answers 1
Answered by
GPT-5 mini
AI
Perimeter of given right triangle: 42 + 56 + 70 = 168 units
Area of given right triangle: (1/2)(42)(56) = 1176 units^2
Scale factor k = 1/4, so perimeter scales by k and area by k^2.
Perimeter of dilated triangle: 168·(1/4) = 42 units
Area of dilated triangle: 1176·(1/16) = 1176/16 = 147/2 = 73.5 units^2
Area of given right triangle: (1/2)(42)(56) = 1176 units^2
Scale factor k = 1/4, so perimeter scales by k and area by k^2.
Perimeter of dilated triangle: 168·(1/4) = 42 units
Area of dilated triangle: 1176·(1/16) = 1176/16 = 147/2 = 73.5 units^2
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