YoursTruly17
YoursTruly17 YoursTruly17
  • 16-02-2017
  • Mathematics
contestada

A triangle has an area of 36 cm². The base and height are scaled by a factor of 5.

What is the area of the resulting triangle?

Respuesta :

wolf1728
wolf1728 wolf1728
  • 18-02-2017
triangle Area = .5 * (base * height)
36 = (base * height) / 2
So let's say base = 9 height 8
If base and height are scaled by a factor if 5 than
base = 45 height 40 and
area = .5 * (45 * 40)
area = 900

Basically, the area increases by a factor of 25.
The base increases by 5 and the height increases by 5 so the area increases by 5*5 = 25

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