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Question
Construct the following parallelograms with the given measurements and find their area.
GAIN, GA = 7.5 cm, GI = 9 cm and ∠GAI = 100°
Diagram
Solution
Given: In the parallelogram GAIN,
GA = 7.5 cm, GI = 9 cm, and ∠GAI = 100°
Construction:
Steps:
1. Draw a line segment GA = 7.5 cm.
2. Make an angle GAI = 100° at A.
3. With G as centre, draw an arc of radius 9 cm cutting AX at I. Join GI.
4. Draw a line IY parallel to GA through I.
5. With I as centre, draw an arc of radius 7.5 cm on IY cutting at N. Join GN
6. GAIN is the required parallelogram.
Construction of area:
Area of the Parallelogram GAIN = b × h sq.units
= 7.5 × 39
= 29.25 sq.cm
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Constructing a Parallelogram When Its One Side, One Diagonal and One Angle Are Given.
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