Respuesta :

Answer:

w = 3 cm

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 5 and h = 6 , then

A = [tex]\frac{1}{2}[/tex] × 5 × 6 = [tex]\frac{1}{2}[/tex] × 30 = 15 cm²

Now the area of the rectangle is 15 cm²

area = length × width , that is

5w = 15 ( divide both sides by 5 )

w = 3 cm

Answer:

2.5

Step-by-step explanation:

equation the two areas in an equation and they are equal

[tex] \frac{1}{2} base \times height = length \times \: width[/tex]

but the width is w

substituting the values,

[tex] \frac{1}{2} (6)(5) = 6 \times w \\ 15 = 6w \\ w = \frac{15}{6 =} = \frac{5}{2 } = 2.5[/tex]