Quadrilateral

The side of a square is $40 \mathrm{cm}$. If its sides increased by $25\%$, what will be a percent increase in its area?

If $\mathrm{ABCD}$ is a rhombus then ${\mathrm{AB}}^2+{\mathrm{BC}}^2+{\mathrm{CD}}^2+{\mathrm{AD}}^2$ is equal to (where diagonal bisect at $\mathrm{O}$) ______

A playground is in the shape of a rectangle. A sum of $₹1000$ was spent to make the ground usable at the rate of$25 paise$ per square metre. The breadth of the ground is $50 metre$. If the length of the ground is increased by $20 metre$, what will be the expenditure in rupees at the same rate per square metre?

In a quadrilateral ABCD, with unequal sides if the diagonals AC and BD intersect at right angles, then _____

The breath in area of rectangle is:

If the three angles of a quadrilateral are $120°, 130°, 10°$ then what is the fourth angle ?

$\mathrm{ABCD}$ is a rectangle of dimensions $8 \mathrm{units} \& 6 \mathrm{units}$ . $\mathrm{AEFC}$ is a rectangle drawn in such a way that diagonal $\mathrm{AC}$ of the first rectangle is one side and side opposite to it is touching the first rectangle at D as shown in the given figure. What is the ratio of the area of rectangle $\mathrm{ABCD}$ to that of $\mathrm{AEFC}.$

Which of the following is pair of opposite sides in the given figure.

The area of a rectangle whose one side is '$a$' is $2a^2$. What is the area of a square having one of the diagonals of the rectangle as side?

Diagonals of a parallelogram _______________ each other.

The length and breadth of a rectangle is $4 \mathrm{cm}$ and $3 \mathrm{cm}$ then, What is the length of the diagonal of this rectangle?

If $x$ and $y$ are respectively the areas of a square and a rhombus of sides of same length, then what is $x : y$?

A table top measures $3\mathrm{m}$ by $50\mathrm{cm}$, the area in ${\mathrm{m}}^2$ will be?

The length of a rectangular room is $17 \mathrm{m}$ and breadth is $4 \mathrm{m}$ less than length. What will be the total cost of carpeting this room if the cost of carpeting is $₹75$ per ${\mathrm{m}}^2?$

The length of a rectangular plot is decreased by $20$percent. By what percent the breadth is to be increased to maintain the same area?

The area of a rectangle whose length is$5$ more than twice its width is $75$ square units. What is the perimeter of the rectangle?

The area of a rectangular field is $144 sq m.$ If the length is increased by $5 m$, its area increases by $40 sq m.$ The length of the field is

The length of a rectangle is increased by $60\%$ by what percentage would the width have to be decreased to maintain the same area?

The diagonals of a Rhombus measures $4 \mathrm{cm} \& 6 \mathrm{cm}$. Its area is ______

If the diagonal and the area of a rectangle are $25 \mathrm{m}$. and$168 {\mathrm{m}}^2$ . What is the length of the rectangle?