Recent questions tagged area

1 1 vote
0 0 answers
320
320 views
Given a fixed perimeter of $1,$ among the following shapes, which one has the largest area?SquareA regular pentagonA regular hexagonA regular septagonA regular octagon
1 1 vote
0 0 answers
340
340 views
The maximum area of a parallelogram inscribed in the ellipse (i.e. all the vertices of the parallelogram are on the ellipse) $x^{2}+4 y^{2}=1$ is:$2$$4$$1$$5$$3$
7 7 votes
3 3 answers
2.3k
2.3k views
Four points $\text{P(0, 1), Q(0, – 3), R( – 2, – 1),}$ and $\text{S(2, – 1)}$ represent the vertices of a quadrilateral.What is the area enclosed by the quadrilateral?$4$...
7 7 votes
3 answers 3 answers
1.9k
1.9k views
​​Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above.The ratio of the area of the regular convex hexagon to the...
15 15 votes
5 answers 5 answers
4.5k
4.5k views
A circle with centre $\text{O}$ is shown in the figure. A rectangle $\text{PQRS}$ of maximum possible area is inscribed in the circle. If the radius of the circle is $a$,...
13 13 votes
1 answers 1 answer
672
672 views
A wire of length $340$ mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of $1:2$. ...
To see more, click for the full list of questions or popular tags.