A window shaped like a parallelogram has an area of 23 4/5 square feet. The height of the window is 2 4/5 feet. How long is the base of the window?

Respuesta :

MsRay

Answer:

base = 8[tex]\frac{1}{2}ft[/tex]

Step-by-step explanation:

The general formula for the area of a parallelogram is:

A = bh, where b = the length of the base and h = the height

Using the given values for area and height, we can solve for the missing variable of 'b':

23[tex]\frac{4}{5}=\frac{119}{5}[/tex]

2[tex]\frac{4}{5}=\frac{14}{5}[/tex]

[tex]\frac{119}{5}=\frac{14}{5}h[/tex]

Multiply both sides by the reciprocal:

[tex](\frac{5}{14})(\frac{119}{5})=(\frac{14}{5})(\frac{5}{14})h[/tex]

[tex]\frac{119}{14}=h[/tex]

[tex]h=8\frac{1}{2}ft[/tex]

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