Find the area of trapezoid by decomposing it into other shapes.

a. 35 cm
b. 39 cm
c. 40 cm
d. 48 cm

A. 35 cm

Step-by-step explanation:

The given trapezoid can be decomposed into a rectangle and a triangle by drawing a line down from the top to the bottom to make a right triangle on the right side of the figure.  This will give you a rectangle with side lengths of 5cm and 6cm and a triangle with a base of 2cm and height of 5 cm.  

The area of a rectangle is length x width:

A = 5 x 6 = 30 cm²

The area of a triangle is 1/2 (base x height):

A = 1/2 (5 x 2) = 5 cm²

Add the two areas together for the total area:

30 cm² + 5 cm² = 35 cm²

y + 11 = (1/4)(x + 16)

step-by-step explanation:

c

step-by-step explanation: