The ratios of the perimeters of two similar triangles are expressed as of 3 : 5. Together, their areas total 34 cm2. What is the area of the larger triangle?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 25 cm2.
Perimeter ratio = 3 : 5
⇒ Side ratio = 3 : 5
⇒ Area ratio = (3)2 : (5)2 = 9 : 25
Let areas be 9k and 25k
9k + 25k = 34
⇒ 34k = 34
⇒ k = 1
Larger area = 25 × 1 = 25 cm2