Question

perimeters of two similar triangles are 30cm and 40cm respectively .what is ratio of their areas?​

Answer 1

Given - perimeter of triangle 1 - 30 cm

perimeter of triangle 2 - 40 cm

Find - Ratio of areas of two triangles

Solution - Perimeter of triangle is sum of it's sides. Since two triangles are involved, writing them as ratio.

perimeter of triangle 1/perimeter of triangle 2 = side of triangle 1/side of triangle 2

side of triangle 1/side of triangle 2 = 3/4

Area of a triangle is equal to square of it's side.

Hence, area of triangle 1/area of triangle 2 = (3/4)²

area of triangle 1/area of triangle 2 = 9/16

Therefore, ratio of area of two triangles is 9/16.

Answer 2

Given :  perimeters of two similar triangles are 30cm and 40cm respectively

To find : what is ratio of their areas

Solution:

Ratio of perimeter of Similar triangle = Ratio of Side of Similar triangle

perimeters of two similar triangles are 30cm and 40cm

=> Ratio of Sides of triangle  = 30/40

=> Ratio of Sides of triangle  = 3/4

Ratio of area of triangle  =  ( Ratio of side of Triangle)²

=> Ratio of area of triangle  =  (3/4)²

=> Ratio of area of triangle  =  9/16

Ratio of area of triangle  =  9/16

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5 Feb 2019 ... amitnrw; Genius .