Question

The question is the photo.

Answer 1

Answer:

w=5

Step-by-step explanation:

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

Answer 2

Answer:

The area of a triangle is $A\Delta=\frac{1}{2}(base)(height)$

So, the area of the given triangle is:

$A\Delta=\frac{1}{2}(5)(6)\\A\Delta=\frac{1}{2}(30)\\A\Delta=15cm^2$

The area of a rectangle is

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

Once the area of both are the same:

$6w=15\\w=\frac{15}{6} \\w=2.5cm$