CUET General Test Geometry > Quadrilaterals PYQs

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

If the points A(3, 0), B(x, 5), C(-1, 4) and D(-2, -1) are the vertices of a rhombus, taken in order, find the value of x.

If the points P(8,5), Q(4,8), R(0,5) and S(4,k) are the vertices of a rhombus, taken in order, then the value of k is

In the adjoining figure, a rectangle has dimensions of 18 cm x 12 cm. The area of the parallelogram (shaded portion) is <img src="https://balti.afterboards.in/QkZEU0YcGwtfqVv" width="400px"/>

Two perpendicular cross roads of equal width run through the middle of a rectangular field of length 80 m and breadth 60 m. If the area of the cross roads is 675 square meters, then the width of each road is:

The diagonal of a square is $4\sqrt{2}$ cm. The diagonal of another square whose area is double that of the first square, is:

A wire is looped in the form of a circle of diameter 70 cm. It is bent again into a square form. What will be the approximate length of the diagonal of the largest possible square? (Assume $\pi = 22/7$)

In a square, lengths of the diagonals are $(4k + 6)$ cm and $(7k − 3)$ cm. The area of the square (in cm²) is:

The distance between two parallel sides of a trapezium is 15 m and its area is 480 m$^2$. If one of the parallel sides is 20 m long, then length of the other side is:

If perimeter of a rhombus is 104 cm and length of one of its diagonals is 48 cm, then area of the rhombus (in cm$^2$) is :

If A (1, 2), B(4, y), C(x, 6) and D(3, 5) are the vertices of a parallelogram ABCD, then find the values of x and y.

A rectangle has its longer side 2 cm greater than its shorter side. Its area is 80 $cm^2$. Find the perimeter of the rectangle (in cm).

A quadrilateral has vertices in the order $(0, -1)$, $(-2, 3)$, $(6, 7)$ and $(8, 3)$. The quadrilateral is a:

A rectangular room can be partitioned into two equal square rooms by a 7 meter long partition. What is the floor area of the rectangular room in $m^2$ ?

Find the perimeter of a rhombus whose one diagonal is 16 cm long and area is 240 cm$^2$.

In the given figure ABCD is a rhombus, the value of x is. <img src="https://balti.afterboards.in/QDwETqsWloDlfH7" width="300px"/>

If the area and sum of parallel side of a trapezium are 48 cm^2 and 48cm respectively. Then the distance between the parallel sides is

Find the maximum distance between two points on a perimeter of a rectangular field whose length and breath are 80 m and 60 m.

If length of diagonal of a square is $7\sqrt{2}$ m. The area of the square is

Find the largest size of a bamboo that can be placed in a square of area 333 m$^2$?

If each side of a square is increased by 20%. Find the percentage increase in its area.

In parallelogram ABCD, angle A is greater than angle B by 10$\degree$, then measure of angle D is

If the length of diagonals of a rhombus are 10 cm and 24 cm then the side of the rhombus is.

The ratio of the sides of the squares in the given figure is <img src="https://balti.afterboards.in/IBReONtx0ExC1l9" width="400px"/>

If two adjacent angles of a parallelogram are $(2x + 30)^\circ$ and $(3x - 15)^\circ$. Then the value of x is:

If lengths of two diagonals of rectangle are $(2x - 3)$ cm and $(x + 2)$ cm, then the value of x is:

If a square has a diagonal of length $6\sqrt{2}$ cm, then the area of square is: