Question

A section in a stained glass window is shaped like a trapezoid.the top base is 4 centimeters and the bottom base is 2.5 centimeters long.if the area of the section of glass is 3.9 square centimeters,how tall is the section?

Answer 1

The height of the trapezoid section is 1.2 centimeters.

Step-by-step explanation:

To find the height of the trapezoid, we can use the formula for the area of a trapezoid: A = 1/2 * (base1 + base2) * height. In this case, the top base is 4 centimeters and the bottom base is 2.5 centimeters. We are given that the area of the section is 3.9 square centimeters.

So, we can substitute the given values into the formula and solve for the height:

3.9 = 1/2 * (4 + 2.5) * height

Now, we simplify the equation:

3.9 = 1/2 * 6.5 * height

3.9 = 3.25 * height

Next, divide both sides of the equation by 3.25 to isolate the height:

3.9 / 3.25 = height

1.2 = height

Therefore, the height of the trapezoid section is 1.2 centimeters.

Answer 2

The formula for a trapezoid is a= (l+w)/2 * h (substitute knowns) 3.9= (2.5+4)/2 *h. (solve for h) 3.9= 3.25* h 3.9/3.25= h h= 1.2 The height is 1.2cm in length