Help Plzzzz

A section in a stained glass window is shaped like a trapezoid. The top base is 1 centimeter and the bottom base is 1.5 centimeters long. If the area of the section of glass is 4.5 square centimeters, how tall is the section?

Respuesta :

Answer:

3.6 cm

Step-by-step explanation:

The area of a trapezoid is found by

A = 1/2 (b1+b2)*h

We know the area of 4.5  and the top is 1 and the bottom is 1.5

4.5 = 1/2 (1+1.5) h

4.5 = 1/2 (2.5) h

4.5 =1.25h

Divide each side by 1.25

4.5/1.25 = 1.25h/1.25

3.6 =h

Hi1315

Answer:

[tex]3.6 \: \: cm[/tex]

Step-by-step explanation:

[tex]area \\ 4.5 = \frac{1}{2}(a + b ) \times h \\ 4.5 = \frac{1}{2} (1 + 1.5) \times h \\ 4.5 = \frac{1}{2} \times 2.5 \times h \\ 4.5 = \frac{2.5h}{2} \\ 4.5 = 1.25h \\ \frac{4.5}{1.25} = \frac{1.25h}{1.25} \\ h = 3.6 \: cm[/tex]

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