Question

The area of a triangle is 60 cm. If the sides of this become four times, then find the area of the new triangle




urgently required​

Answer 1

Given :  area of a triangle is 60cm sq

the sides become four times

To Find :   the area​

Solution:

If Sides of a triangle becomes 4 times of the triangle then both triangles would be similar

Ratio of area of Similar triangle = (Ratio of Corresponding sides of triangle)²

Ratio of Corresponding sides of triangle = 4

=> Area of New Triangle / Area of Old Triangle =  4²

=> Area of New Triangle / 60 =  16

=> Area of New Triangle = 60 x 16

=> Area of New Triangle = 960  cm²

Area of New Triangle = 960  cm²

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Answer 2

Answer:

960 cm² is the answer

Step-by-step explanation:

Given:  

Area of triangle = 60 cm²

The sides becomes four times

To Find:  

The area of the new triangle

Solution:

If Sides of a triangle becomes 4 times of the triangle then both triangles would be similar

Ratio of area of Similar triangle = (Ratio of Corresponding sides of triangle)²

Ratio of Corresponding sides of triangle = 4

= Area of New Triangle / Area of Old Triangle =  4²

=  $\frac{Area of new triangle}{ 60 }= 16}$

= Area of New Triangle = 60 x 16

= Area of New Triangle = 960  cm²

THEREFORE, THE AREA OF NEW TRIANGLE = 960 cm²

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