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A triangle has an area of 30 cm². The base and height are scaled by a factor of 4.

What is the area of the resulting triangle?



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2 Answers

1 vote

Answer:

480cm². Verified by correct test results.

User Gregturn
by
7.3k points
4 votes
let
b--------------> the base of triangle
h--------------> the height of triangle
Area A1=b*h/2--------------- > 30 cm²

if the base and height are scaled by a factor of 4
we have that
b=4b
h=4h
A2=(4b)*(4h)/2--------> 16(b*h/2)=16A1
A2=16A1---------> 16*30=480 cm
²

the area of resulting triangle is 480 cm
² (16 times the original area)
User Nexonus
by
7.1k points