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Question

Construct a trapezium DEAN in which DE is parallel to NA, DE = 7 cm, EA = 6.5 cm, EDN = 100 and DEA = 70 . Also find its area.

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Solution

Given: DE=7 cm, EA = 6.5cm EDN = 100 and DEA = 70 and DE || NA.

Steps:

Step 1. Draw a line segment DE= 7 cm.

Step 2. Construct an angle DEX = 70 at E.

Step 3. With E as centre draw an arc of radius 6.5cm cutting EX at A.

Step 4. Draw AY parallel to DE.

Step 5. Construct an angle EDZ = 100 at D cutting AY at N.

Step 6. DEAN is the required trapezium.

By measuring the length of AN = 5.8 cm and Height of trapezium = 6.1 cm

Area of the trapezium DEAN =12×h×(a+b) sq.units

=12×6.1×(7+5.8)=39.04 sq.cm

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