Respuesta :

Answer:

141.12 cm^2

Step-by-step explanation:

The formula for area of a triangle is [tex]h(b1+b2)1/2[/tex]. you have that:

b1, or base 1, = 12.2

b2, or base 2, = 10.2

h, or height, = 12.6

so plug this into the formula:

[tex]12.6(12.2+10.2)1/2\\12.6(22.4)1/2\\12.6*11.2\\141.12[/tex]

Answer:

141.12cm^2

Step-by-step explanation:

First split the trapezoid into two shapes: a rectangle and a triangle.

The area of the rectangle is (10.2cm)(12.6cm) = 128.52cm^2

Finding the area of the triangle is a little trickier. In order to find the base of the triangle, subtract 12.2-10.2=2. The area of a triangle is defined as A=1/2bh, so let's plug in our values:

A = (1/2)(2)(12.6) = 12.6cm^2

Now, add them together.

12.6cm^2 + 128.52cm^2 = 141.12cm^2