Please help me?
What is the area of the trapezoid? The diagram is not drawn to scale.

A. 48 cm^2

B. 64 cm^2

C. 72 cm^2

D. 104 cm^2

Please help me What is the area of the trapezoid The diagram is not drawn to scale A 48 cm2 B 64 cm2 C 72 cm2 D 104 cm2 class=

Respuesta :

The area for a trapezoid is A = 1/2 h (base 1 + base 2).  You have the top base of 8.  But straight down underneath that is also a base of 8.  Next to that 8 you have a 4, so thus far you have a bottom base of 8 + 4.  But you're missing what's over on the left.  That base measure of that triangle is also 4, because the triangles are congruent.  So the whole bottom base is 4 + 8 + 4 = 16.  Now you have everything you need:  A = 1/2 (6) (8 + 16).  Do the addition inside the parenthesis first to get 24.  Now multiply that by 6 to get 144.  Now finally, divide that by 2 to get 72 cm^2