Practice Questions on Quadrilaterals

Q1. The diagonals of a rhombus are 15 cm and 8 cm. Find the area of a rhombus.

Q2. A park is in the shape of a rectangle. The length of the park is 120m and the width is 70m. What is the area of the park?

Q3. If the adjacent sides of a kite are 5cm and 8cm, and one of its diagonals is 12cm, then find the area of the kite.

Q4. The quadrilateral has three sides that measure 9 cm, 13 cm, and 17 cm in length, and its perimeter is 50 cm. Find the quadrilateral’s missing side.

Q5. A quadrilateral has three acute angles, each measuring 70°. Find the measure of the fourth angle.

Q6. The adjacent sides of a parallelogram are in the ratio of 6:7 and its perimeter is 65 m. Find the side lengths of a parallelogram.

Q7. If two angles of a quadrilateral are 60° and 70°, and the other two angles are in the ratio 6:8. What are the measures of these two angles?

Q8. The lengths of the adjacent sides of a parallelogram are 3cm and 4cm. Find its perimeter.

Q9. Two consecutive angles of a parallelogram are (x + 70)° and (2x + 20)°. What special name can you give to this parallelogram ?

(Hints : Sum of two consecutive interior angles is = 180°)

Q10. Three angles of a quadrilateral are equal and the fourth angle is equal to 138°. Find each of the equal angles of the quadrilateral.

Quadrilaterals are the most common geometrical shapes we observe in our daily lives. In geometry, a quadrilateral is formed by connecting four points and the points are non co-linear. It is an important topic for school students and also for students preparing for various competitive exams.

In this article, we will discuss about quadrilateral, its formulas, and various practice questions on the quadrilateral concepts, which will help the students to increase their scores and improve their problem-solving efficiency.