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Question
Construct the following parallelograms with the given measurements and find their area.
ARTS, AR = 6 cm, RT = 5 cm and ∠ART = 70°
Diagram
Solution
Given: In the Parallelogram ARTS,
AR = 6 cm, RT = 5 cm, and ∠ART = 70°
Rough Diagram
Construction:
Steps:
1. Draw a line segment AR = 6 cm.
2. Make an angle ∠ART = 70° at R on AR
3. With R as centre, draw an arc of radius 5 cm cutting RX at T
4. Draw a line TY parallel to AR through T.
5. With T as centre, draw an arc of radius 6 cm cutting TY at S. Join AS
6. ARTS is the required parallelogram.
Calculation of area:
Area of the parallelogram ARTS = b × h sq.units
= 6 × 4.7
= 28.2 sq.cm
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Constructing a Parallelogram When Its Two Adjacent Sides and One Angle Are Given.
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