Question

A shape is made of 12 right triangles of equal size each right triangle has a base of 4 centimeters and a height a 5-cm what is the total area in square centimeters of the shape

Answer 1

Answer:120cm

Explanation:

Answer 2

`120\ cm^2`

Explanation:

The area
`(A_t)` of a triangle is equal to half the product of its length (L) because of its height (h).

`A_t = 0.5h*L`

The base of the triangles is
`L = 4\ cm`

The height of the triangles is
`h = 5\ cm`

Then the area of one of the triangles is:

`A_t = 0.5(4)(5)\\A_t = 10\ cm^2`

The figure is formed by 12 equal triangles, then the area of the figure
`(A_f)` is:

`A_f = 12(A_t)\\A_f = 12(10)\\A_f = 120\ cm^2`