# Questions tagged [area]

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

2,295 questions
Filter by
Sorted by
Tagged with
1answer
43 views

### Find the ratio of the area $EDPQ$ to the area of ABC

In triangle $ABC$,points $E$ and $D$ are on side $AC$ and point $F$ is on side $BC$ such that AE=ED=DC and $BF:FC$ =2:3. $AF$ intersects $BD$ and $BE$ at points $P$ and $Q$, respectively. Find the ...
2answers
62 views

### Three cevians in a triangle create four sub-triangles of area $1$. Find the area of a non-triangular region.

I'm having trouble proving that all the white and green areas have the same area, from there on we can obtain the answer $1+\sqrt5$ by proving that the inner red triangle points are midpoints.
2answers
34 views

### Find the area between functions $x^3=2y^2;x=0;y=-2$

Take the element of area parallel to the y axis: $$x^3=2y^2;x=0;y=-2$$ First, I isolated in terms of $y$, $$y= \pm \sqrt{x^3\over2} \\ = \pm{\sqrt2\over 2}x^{3 \over 2}$$ Since bounded by $y=-2$, ...
1answer
23 views