Respuesta :

Answer:

132cm^2

Step-by-step explanation:

to solve for the area of this we can split it into smaller shapes and sum the areas afterward-

the top rectangle has an area equal to Length x Width

4x7 = 28cm^2

the centre rectangle is done similarly-

7x8 = 56cm^2

lastly the two triangles which are solved with base x height divided by two

now since we know that the centre piece is 7cm across, and that the two side triangles are equal in size, that means that we know the base to be 19-7 divided by 2 which gives 6 each-

[tex]\frac{(6)(8)}{2}[/tex] (2) = (6)(8) = 48cm

now summing them we have 28 + 56 + 48 = 132cm^2

132 cm^2
You do the part separately then add it together in the end