Designer wants to estimate the area of a trapazoid shaped stage. Each square represents one square foot. The designer decides to find the area by composing the length of the base of the rectangle in feet . Top is 10 bottom is 14. Height is 6

First, calculate the average length of the bases (top and bottom) of the trapezoid by adding them together and dividing by 2:

(10 + 14) / 2 = 24 / 2 = 12 feet

Next, multiply the average length of the bases by the height of the trapezoid to find the area:
12 feet * 6 feet = 72 square feet

Therefore, the estimated area of the trapezoid shaped stage is 72 square feet.