Respuesta :

Answer:

Step-by-step explanation:

area =(4+4+4)/2×2+1/2×(4+4)×5.75

=12+23.00

=35 sq.cms.

Step-by-step explanation:

Area of triangle = [tex]\frac{1}{2}[/tex](b*h)

Area of rectangle = b*h

[tex]A(big-triangle) = \frac{1}{2} (5.75*4)[/tex]

[tex]A(big-triangle) = \frac{1}{2}(23)[/tex]

[tex]A(big-triangle) = 11.5[/tex]

Since there are two big triangles, then we can multiply 11.5 by 2.

11.5 * 2 = 23

[tex]A(small-triangle) = \frac{1}{2}(2*2)[/tex]

[tex]A(small-triangle) = \frac{1}{2} (4)[/tex]

[tex]A(small-triangle) = 2[/tex]

Since there are two small triangles, then we can multiply 2 by 2.

2 * 2 = 4

[tex]A(rectangle)= 4 * 2[/tex]

[tex]A(rectangle) = 8[/tex]

Now, we can add up all of the areas so we can find the total area of the entire shape.

23 + 4 + 8 = 35

So, the area of the entire shape is 35 square cm.