Construction of Parallelogram When Two Adjacent Sides and One Diagonal Are Given.
Construct the...
Question
Construct the parallelograms with the given measurements and find their area.
CAMP, CA = 6 cm, AP = 8 cm and CP = 5.5 cm. [5]
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Solution
In the parallelogram
CAMP, CA = 6 cm AP = 8 cm, and CP = 5.5cm
Steps:
Draw a line segment CA = 6 cm.
With C as centre, draw an arc of length 5.5 cm
With A as centre, draw an arc of length 8 cm
Mark the intersecting point of these two arcs as P
Draw a line PX parallel to CA With P as centre draw an arc of radius 6 cm cutting PX at M.
Join AM CAMP is the required parallelogram. [1] [3]
Calculation of area:
Area of the Parallelogram CAMP = b x h sq. units
= 6 x 5.5
= 33 sq. cm [1]