## What is the formula of a quadrilateral?

Area l × b l × h
Perimeter 2 × (l + b) 2 × (l + b)

The quadrilateral is a four-sided polygon, and hence the sum of the interior angles of a quadrilateral is 360°​. A quadrilateral may be square, rectangle, parallelogram, rhombus, trapezium or kite-shaped.

### How do you find the angle measures of a quadrilateral?

Subtract the sum of the three angles from 360, to get the final angle. For example, a quadrilateral with the angles 40, 45, and 115 degrees, you would get a fourth angle of 160 degrees (360 – 200 = 160).

A quadrilateral is a polygon which has 4 vertices and 4 sides enclosing 4 angles and the sum of all the angles is 360°. When we draw a draw the diagonals to the quadrilateral, it forms two triangles. Both these triangles have an angle sum of 180°. Therefore, the total angle sum of the quadrilateral is 360°.

## What is the area of a quadrilateral ABCD whose sides are 9 m 40 m 28 m and 15 m and the angle between the first two sides is a right angle?

Heron’s Formula Find the area of a quadrilateral ABCD whose sides in metres are 9, 40, 28 and 15 respectively and the angle between first two sides is a right angle. = 180 m2 + 126 m2 = 306 m2.

What will be the area of quadrilateral ABCD If AB 3cm BC 4cm CD 4cm da 5cm andac 5cm?

We have found that area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm is 15.2 cm2.

### What will be the area of the given trapezium ABCD If DC is parallel to AB and DC 5cm and AB 10cm?

Hence, area of trapezium ABCD is 44 cm².

How do you calculate irregular Quadrilaterals?

To find the area of such irregular quadrilaterals, follow a three-step strategy:

1. Divide the quadrilateral into two triangles by constructing a diagonal that does not disturb the known interior angle.
2. Calculate the area of each triangle, using formulas.
3. Add the areas of the two triangles.

solving numerical and algebraic problems dealing with quadrilaterals. 1. Given: m∠A = 3x+9 m∠B = 5x+20. m∠C = 3x m∠D = 2x+6. Find m∠D. Solution: 3x+9 + 5x+20 + 3x + 2x+6 = 360. 13x + 35 = 360; 13x = 325; x = 25. m∠D = 2 (25)+6 = 56º. Remember:

quadrilaterals have 4 corners. all 4 sides are straight lines. The 4 corners interior angles add up to 360. The 4 corners exterior angles add up to 360. 1 side is always shorter than the sum of the other 3. a quadrilateral is the shortest number of sides to have a concave polygon. a quadrilateral is the shortest number of sides to be able to flex at the corners and change its shape.

### How to find an angle in a quadrilateral?

– The angles inside a quadrilateral add to 360°. – To find the missing angle, add up the 3 known angles and subtract this from 360°. – 75° + 85° + 140° = 300°. The three known angles add to 300°. – We subtract this from 360°. 360° – 300° = 60° and so the missing angle is 60°.

How do you find the angle of a quadrilateral?

Parallelogram: Which has opposite sides as equal and parallel to each other.

• Rectangle: Which has equal opposite sides but all the angles are at 90 degrees.
• Square: Which all its four sides as equal and angles at 90 degrees.
• Rhombus: Its a parallelogram with all its sides as equal and its diagonals bisects each other at 90 degrees.