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contestada

A garden in the shape of a trapezoid has an area of 44.4 square
meters. One base is 4.3 meters and the other base is 10.5 meters
long. The height of the trapezoid is the width of the garden. How wide
is the garden?

Respuesta :

Answer:

37 meters

Step-by-step explanation:

The equation for the area of a trapezoid is [tex]A=\frac{a+b}{2} +h[/tex].

Here, [tex]a = 4.3[/tex], [tex]b=10.5[/tex], and [tex]h[/tex] is unknown.

[tex]44.4=\frac{4.3+10.5}{2} +h[/tex]

[tex]44.4=\frac{14.8}{2} +h[/tex]

[tex]44.4=7.4 +h[/tex]

[tex]37 = h[/tex]

The height of the trapezoid is the width of the garden, so the garden is 37 meters wide.