CUET General Test: GeometryQuadrilaterals. Free, no login required.

If the side of a square is increased by 8 cm, its area increases by 120 sq. cm. Find the side of the square.

Find the maximum distance between two points on the perimeter of a rectangular garden whose length and breadth are 20 meter and 15 meter.

Consider the area of the following solids:

(A) A rhombus whose diagonals are 48 cm and 20 cm long.

(B) A trapezium with parallel sides 9.7 cm and 6.3 cm, and the distance between them is 6.5 cm.

(C) A parallelogram with a base equal to 25 cm and the corresponding height measuring 16.8 cm.

(D) A rhombus, whose diagonals are 30 cm and 16 cm.

Arrange the above in ascending order.

Choose the correct answer from the options given below:

Consider the following statements:

Which is/are true?

(A) The sum of any two sides of a triangle is greater than the third side.

(B) The median of a triangle divides it into two triangles of equal area.

(C) The diagonals of a parallelogram bisect each other.

(D) The diagonals of rhombus are equal and bisect each other.

Choose the correct answer from the options given below:

The length of one pair of opposite sides of a square is increased by 4 cm on each side; the ratio of the length and the breadth of the newly formed rectangle becomes 5 : 3. Find the area of the original square?

If each side of a square is increased by 40%, find the percentage change in its area.

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

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.

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$^2$?