Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [area]

Area is a quantity that expresses the measurement of the extent of a two-dimensional shape.

Frequent problems related to area include

  • Computing area of planar figures like triangles, circles, quadrilaterals, etc.
  • Computing the surface area of a figure in three dimensional space like a sphere or a cube.
  • Applying techniques of integral calculus to calculate the area bounded underneath the graph of a function, or the area bounded between the graphs of two functions.
  • Broadly discussing alternative definitions and notions of area.
3695 questions
0
votes
1 answer

Bisecting egg shape curve

I have an egg shaped pill that I need to cut in half. assuming even distribution, mathematically speaking what would be the best way to half this pill?
user1775614
  • 241
0
votes
1 answer

How to Fit Perfect Squares Into a Rectangle

I have been looking all over the Internet for an answer on this. None of them answer my question, and I need help. The ones that do somewhat answer my question assume the fact I understand their college-level mathematical understanding, when in…
Sean Wilkerson
  • 3
0
votes
2 answers

Find the length of DC to the nearest first decimal place.

In the trapezium ABCD shown in the figure, AB = (x + 3) cm, DC = (2x − 3) cm and BE = EC. If the area of the trapezium is $15 cm^2$, find the length of DC to the nearest first decimal place. (Take$ \sqrt{19}$ = 4.36) Any Ideas on how to…
user360471
  • 493
0
votes
2 answers

The most efficient way to calculate the area of the triangle

What is the most efficient way to calculate the area of the triangle enclosed in the lines with equation $y= x+2, 2y= -3x + 7$ and $x=5$? I constructed all the lines and then calculated the sides of the triangle by using Pythagorean theorem. Thanks…
Anonymous196
  • 1,385
0
votes
0 answers

how can I calculate covered area under a single-slope roof?

I'm looking to build a small covered patio area on our property, next to our pool. It'll be open on all sides, and covered by a simple skillion/single-sloped roof. So something like in this…
asjd
  • 1
0
votes
2 answers

Calculating the area (cm2) of the sole of a shoe

I did a search, and nothing useful came up. I am trying to calculate the area ($\operatorname{cm}^2$) of the sole of my shoe (size UK $8$) and am unsure how to do it because I'm not good with maths. Could someone tell me how to do it please? To add…
cornishninja
  • 109
0
votes
2 answers

Find the area between $x + \sin x$ and its inverse

I am confused this problem is really hard for me . I don't know how to calculate this function's inverse but my teacher said that this can be done without finding out the inverse of the function . Please help .
user169772
  • 71
0
votes
1 answer

Area with different unit measurements

What is the area of a rectangle, in square meters, with a length of 108 meters and a width of 300 millimeters? I think it could be 324 sqm.
dan
  • 1
0
votes
1 answer

ACDF (labelled clockwise) is a square of unit length. B is the midpoint of AC. E lies on FD such that FE = 1/4 and ED = 3/4. Find the area of BHEG.

I have solved this problem by use of the Cartesian plane, but the solution is long and I am sure that I have overkilled it and that there is a simpler solution... Based on where this question came from, I believe it is possible to solve it using…
Anthony
  • 1
-1
votes
3 answers

Area by a single measure

There is a triangle whose area can be calculated just by knowing/measuring one of its sides. If it is not an equilateral triangle, what it could be ?
Karri Chandrasekhar
  • 233
-1
votes
3 answers

How would I find the total area? On which steps?

How to find the total area between $f(x) = x^2 - x$ and the $x-$axis over $[-1,2]$?
Chocolate Cheese
  • 15
-1
votes
4 answers

Area of Square possibility

The area of a square is given to be equal to $x^6 \pm x^5 \pm x^4 \pm x^3 \pm x^2 \pm x \pm 1$. Is such an area possible such that it would be equal to a whole number??? If yes, what would be an expression for the area??? I do not have any idea…
Abhijith S. Raj
  • 363
-1
votes
1 answer

Straight Lines; The area enclosed by |x| +|y| =1

Find the area enclosed by the following graph : $|x| +|y|=1 $
Nalin Nehra
  • 1
-2
votes
2 answers

A point $P (\frac{e^t+e^{-t}}2,\frac{e^t-e^{-t}}2)$ traces a locus $S=0$ in $XY$,

A point $P (\frac{e^t+e^{-t}}2,\frac{e^t-e^{-t}}2)$ traces a locus $S=0$ in $XY$, a fixed point $P'$ having parameter $t'$ lies on $S=0$. Area bound by the curve, the line $OP'$ ($O$ being origin) and $x$-axis is $240$ sq units. Find value of $t'$.…
NadiKeUssPar
  • 2,474
-2
votes
1 answer

How do I find the original area of a square given that two 1 inch parallel cuts would divide it into three even piece? (Diagram included)

If I take a perfect square, and make two parallel 1 inch cuts (as seen in diagram) this will divide the square into three perfectly equal sections. What is the original area of the square? This is a question for my math seminar class, and I've…
user978757
  • 125
  • 10
1 2 3
…
11
12