The perimeter of two similar triangles are 40
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Answer:
Perimeter of 1st triangle = 40 cm
Perimeter of 2nd triangle = 50 cm
Ratio of squares of perimeters of two triangles is equal to the ratio of areas of both triangles.
\frac{ {(perimeter \: of \: 1st \: triangle)}^{2} }{ {(perimeter \: of \: 2nd \: triangle)}^{2} } = \frac{area \: of \: 1st \: triangle}{area \: of \: 2nd \: triangle}
(perimeterof2ndtriangle)
2
(perimeterof1sttriangle)
2
=
areaof2ndtriangle
areaof1sttriangle
\frac{ {40}^{2} }{ {50}^{2} } = \frac{1600}{2500} = \frac{16}{25}
50
2
40
2
=
2500
1600
=
25
16
Ratio of areas = 16:25
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