Sam’s yard is shaped like a trapezoid. The dimensions are shown in the picture. What is the area of sam’s yard?

(step by step please! ☆)

The area of Sam's yard is 28 square units.

Step-by-step explanation:

Step 1:

The trapezoid's area is calculated by averaging the base lengths and multiplying it with the trapezoid's height.

The trapezoid's area

Here a is the lower base length and b is the upper base length while h is the height.

Step 2:

In the given diagram, the upper base is 6 units, so . The lower base is 8 units long, so .  and the height is 4 units, so

The trapezoid's area

So the area of Sam's yard is 28 square units.

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2