Question

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! ☆)

Answer 1

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 $= \frac{a+b}{2}(h) .$

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 $a = 6$. The lower base is 8 units long, so $b= 8$.  and the height is 4 units, so $h=4.$

The trapezoid's area $= \frac{a+b}{2}(h) = \frac{6+8}{2}(4)= \frac{14}{2} (4) = 28.$

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