Question

The right triangle below is dilated by a scale factor of 55. 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.
12
5
13
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
Submit Answer

Answer 1

Perimeter (original) = 5 + 12 + 13 = 30 units
Area (original) = (1/2)(5)(12) = 30 square units

Scale factor = 55, so linear measures ×55 and areas ×55^2 = 3025.

Perimeter (dilated) = 30 × 55 = 1650 units
Area (dilated) = 30 × 3025 = 90,750 square units