How to find The Area of Qardiletrals . spamming Allowed.
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If the diagonal and the length of the perpendiculars from the vertices are given, then the area of the quadrilateral is calculated as: Area of quadrilateral = (½) × diagonal length × sum of the length of the perpendiculars drawn from the remaining two vertices.
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For a regular quadrilateral:-
Use formulae like,
- area of square = side²
- area of rectangle = length · breadth, etc.
For an irregular quadrilateral:-
Break it into a number of triangles (draw a diagonal first for that purpose) and then find the area of the triangles separately by the formula (½ · base · height) and sum them up.
{Q. for you: Derive the area of a Trapezium. Hint: Draw a diagonal and find their areas and add them.}
Basic formula to find the area of any quadrilateral:-
Area =
where, d = diagonal and p = perpendicular to the diagonal from the corresponding vertex.
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