Question

Construct a quadrilateral DEAR with DE=6 cm, EA = 5 cm, AR = 5.5cm, RD = 5.2 cm and DA = 10 cm. Also find its area.

$\left[5\right]$

Answer 1

Given:
DE = 6 cm, EA = 5 cm, AR = 5.5 cm,
RD = 5.2 cm and a diagonal
DA = 10 cm

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1. Draw a line segment DE = 6 cm.
2. With D and E as centres, draw arcs of radii 10 cm and 5 cm respectively and let them
cut at A.
3. Join DA and EA.
4. With D and A as centres, draw arcs of radii 5.2 cm and 5.5 cm respectively and let
them cut at R.
5. Join DR and AR .
6. DEAR is the required quadrilateral.
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$\left[2\right]$

Area of quadrilateral $=\frac{d}{2}\left(h_1+h_2\right)=\frac{10}{2}\left(1.9+2.3\right)=21c{m}^2$
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