Question

The question is the photo.

Answer 1

The area of a triangle is
`A\Delta=(1)/(2)(base)(height)`

So, the area of the given triangle is:

`A\Delta=(1)/(2)(5)(6)\\A\Delta=(1)/(2)(30)\\A\Delta=15cm^2`

The area of a rectangle is

`A=(length)(width)\\A=(6)w\\A=6wcm^2`

Once the area of both are the same:

`6w=15\\w=(15)/(6) \\w=2.5cm`

Answer 2

w=5

Explanation:

the triangle has the same size of area as the side of the rectangle so therefore 5