Quadrilateral Formulas
Four-sided polygons are called quadrilaterals. Each quadrilateral has four sides, four vertices, and four angles. Quadrilateral formulas help us find important quantities such as area and perimeter. In quadrilaterals, the internal angles add up to 360º. 7 types of different quadrilaterals are present. Let us learn about quadrilateral formulas in more detail.
What is Quadrilateral Formulas?
The seven types of quadrilaterals are given in the table below. The quadrilateral formulas (Area) for each quadrilateral are mentioned in the table.
| Quadrilateral Type | Quadrilateral Formula (Area) |
| Square | = p×p, p is side. |
| Rectangle | = l×b |
| Rhombus | = 1/2(d1×d2), d1 and d2 are diagonals. |
| Parallelogram | = b×h, h is height, b is base |
| Trapezium | = [(a+b)h]2, a and b are parallel sides |
| Isosceles Trapezium | = [(a+b)h]2, a and b are parallel sides |
| Kite | d1×d2, d1, and d2 are diagonals. |
Let us have a look at a few solved examples on the quadrilateral formulas to understand the quadrilateral formulas.
Solved Examples Using Quadrilateral Formulas
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Example 1: The area of a parallelogram is 36 square units and the height is 6 units. Find the base.
Solution:
To find: Base of the given parallelogram
Given, area = 36 square units, and h = 6 units
Formula: b × h
Area of parallelogram = b × h
36 = b(6)
b = 36 / 6 = 6
Answer: Base of the given parallelogram = 6 units
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Example 1: A rhombus has diagonals of 12 and 6 units. Find its area.
Solution:
Given, d1 = 12, and d2 = 6
To find: area
Formula: 1/2 (d1 × d2)
Area of = 1/2 (d1 × d2)
Area =1/2 (12 x 6)
Area = 36
Answer: Area of the rhombus is 36 square units
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