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