In the figure, PQRS is a rectangle in which PQ=3 PS=12cm. RS is extended up to the point M. What is the area of triangle PQM? Find it.

Aakash Shah

3 years ago

1 Answer

Aakash Shah

3 years ago

Given, PQRS is a rectangle

and PQ = 3 Ps = 12cm

To find, Area of triangle PQM

Here,

(I) 3PS = 12cm

or, PS = 12/3 = 4cm

(II) Area of rectangle PQRS = PQ x PS [Area of rectangle = length x breadth]

= 12cm x 4cm

= 48cm²

(III) Area of triangle PQM = 1/2 Area of rectangle PQRS [Both are standing on the same base and between the same parallel lines.]

or, Area of Triangle PQM = 1/2 x 48cm²

= 24cm²

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