Question

A right triangle has an area of 24ft^2. The dimensions of the triangle are increased by a scale factor of 6. What is the area of the new triangle

Answer 1

`864\ ft^2`

Explanation:

we know that

The area of a triangle is equal to

`A=(1)/(2)bh`

`A=24\ ft^2`

`24=(1)/(2)bh` ------->
`48=bh` ------> equation A

where

b is the base of the triangle

h is the height of the triangle

In this problem the dimensions of the triangle are increased by a scale factor of
`6`

so

the new dimensions of the triangle are

`b=6b, h=6h`

The new area of the triangle will be

`A1=(1)/(2)(6b)(6h)`

`A1=18bh` ------> equation B

Substitute equation A in equation B

`A1=18[48]=864\ ft^2`