A shape is made of 12 right triangle of equal size. Each righ 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: 120 cm².

Step-by-step explanation:

1. To solve this problem you must apply the formula for calculate the area of a triangle, which is:

[tex]A=\frac{b*h}{2}[/tex]

Where b is the base and h is the height of the triangle.

2. Then, when you substitute the values given in the problem you obtain:

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

3. You know that the shape is made of 12 right triangle of equal size, therefore, multiply the area obtained by 12.

4. Then the area of the shape is:

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

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