Question

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?
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I cm²
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Answer 1

The area of the resulting triangle will be:
`\boxed{A=900\:cm^2\:}`

Explanation:

The area of a triangle is

`A=(1)/(2)* base* height`

Let us suppose

• base = 4 cm

• height = 18 cm

`A=(1)/(2)* base* height`

`A\:=(1)/(2)* \:4* \:18\:\:\:\:\:`

`A=36\:cm^2\:`

As the base and height are scaled a factor of 5.

so

base = 4 × 5 = 20

height = 18 × 5 = 90

as

`A=(1)/(2)* base* height`

`A\:=(1)/(2)* \:20* \:90`

`A=900\:cm^2\:`

Therefore, the area of the resulting triangle will be:
`\boxed{A=900\:cm^2\:}`