## What is the formula of a quadrilateral?

Important quadrilateral formulas

Quadrilateral formulas | Rectangle | Parallelogram |
---|---|---|

Area | l × b | l × h |

Perimeter | 2 × (l + b) | 2 × (l + b) |

**What is quadrilateral question and answer?**

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).

**Do all angles in a quadrilateral add up to 360?**

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:

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

## How to solve quadrilaterals?

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:

**What are facts about quadrilaterals?**

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.