A shape is made of 12 right triangles of equal size. Each right triangle has a base of 4 cm and a height of 5 cm. What is the total area, in square centimeters, of the shape?

Respuesta :

Answer:

The total area of the shape is [tex]120\ cm^{2}[/tex]

Step-by-step explanation:

step 1

Find the area of one right triangle

The area of a triangle is equal to

[tex]A=\frac{1}{2}(b)(h)[/tex]

we have

[tex]b=4\ cm[/tex]

[tex]h=5\ cm[/tex]

substitute

[tex]A=\frac{1}{2}(4)(5)=10\ cm^{2}[/tex]

step 2

To find the total area of the shape multiply the area of one triangle by 12

so

[tex]A=12(10)=120\ cm^{2}[/tex]

Answer:

120 cm

Step-by-step explanation