Question

A section in a stained glass window is shaped like a trapezoid. The top base is 2 centimeters and the bottom base is 4.5 centimeters long. If the area of the section of glass is 9.1 square centimeters, how tall is the section?

Answer 1

Answer:

2.8 cm

Step-by-step explanation:

The area of a trapezoid is calculated using the formula:

$A=\frac{(B+b)h}{2}$

where

B is the length of the major base

b is the length of the minor base

h is the height of the trapezoid

In this problem, the glass window has the shape of a trapezoid. We know that:

B = 2 cm is the length of the top base

b = 4.5 cm is the length of the bottom base

$A=9.1 cm^2$ is the area of the trapezoid

Solving for h, we can find the height of the stained glass window:

$h=\frac{2A}{B+b}=\frac{2(9.1)}{2+4.5}=2.8 cm$