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The equation you are thinking of is for a trapezoid or parallelogram. Rectangles have 4-90 degree angles and two different side lengths, so unless the picture is drawn to scale and you have a ruler, you cannot figure out the "height," or adjacent side of the rectangle. You may be able to figure it out by drawing a diagonal line through the rectangle and using sine/cosine/tangent to figure out the sides and angles, but it doesn't seem like you have enough information to do so. However, area of a rectangle is determined by the following equation: Length x Width = Area. So if you know the length (base) and the area, you can simply divide the area by the base and you will most likely have the answer.

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Q: What is the height of a rectangle when base and area are given?
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find the area of a rectangle with base 4 ft and height 4 in?


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Why is the area of a rectangle base times height?

A rectangle is a good, simple shape to begin with. The area of a rectangle is equal to the product of the length of its base and the length of its height. The height is a segment that is perpendicular to the base. For a rectangle, the base and height are often called the "length" and the "width", and sometimes the height is referred to as the "altitude."


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Divide the area by the height


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Height = (Perimeter/2) - Base


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