Question

The right triangle below is dilated by a scale factor of one half
2
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.
48
20
52
Answer

Perimeter of given right triangle
unitsPerimeter of dilated right triangle
units
Area of given right triangle
units2Area of dilated right triangle
units2

Answer 1

Perimeter of given right triangle: 20 + 48 + 52 = 120 units

Perimeter of dilated right triangle (scale 1/2): 120 × 1/2 = 60 units

Area of given right triangle: (1/2)(20)(48) = 480 units^2

Area of dilated right triangle (scale 1/2): 480 × (1/2)^2 = 480 × 1/4 = 120 units^2