Triangle MNO has an area of 12 cm². A similar triangle, M'N'O', has a perimeter that is twice the perimeter of Triangle MNO. What is the area of Triangle M'N'O'?
Show answer & explanation
Correct answer: C
Explanation
Given:
Area of triangle MNO = 12 cm²
Perimeter of the second triangle = 2 times the perimeter of the first
By the formula:
In similar triangles
Ratio of areas = (Ratio of sides)²
Ratio of sides = 2 : 1
Ratio of areas = 2² : 1² = 4 : 1
Area of the new triangle = 12 × 4 = 48 cm²