# Questions tagged [area]

Area is a quantity that expresses the extent of a two-dimensional or three-dimensional surface or shape.

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### Area between $y = 5+x-x^2$ and $y = x+4$ [duplicate]

I have the following 2 equations and I have drawn their graphs. $$\begin{cases}y=5+x-x^2\\ y=x+4\end{cases}$$ I have found intercepts as well. The question is asking to find area between these 2 ...
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### How do I find the area in this question?

Find the area bounded by $$f(x) = x + 6$$ $$g(x) = x^3$$ $$h(x) = -\frac{x}{2}$$ Edit Fixed simple error on h(x) I already drew the grew, although it is very hard to really tell where they ...
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### Maximum area of a square in a triangle

I want to calculate the area of the largest square which can be inscribed in a triangle of sides a, b, c. The "square" which I will refer to, from now on, has all its four vertices on the sides of the ...
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### Converting squared or cubed units

At the moment I am going from square meters to square yards. One meter is $1.0936$ yards. So I figure $1\text{m}^2 = 1.0936 \text{yards}^2$ I know it isn't but I want to learn a good systematic ...
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### Area of a parallelogram in $\mathbb{R}3$
Let $A = (2, -3, 1), B = (5, -3, -1), C = (-2, -3, 5)$ and $D = (1, -3, 3)$ I have the above situation. I know this: $$A = \| \vec{AB} \times \vec{AD} \|$$ gives the area of the parallelogram. ...