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Question
Construct the following quadrilaterals with the given measurements and also find their area.
PLAY, PL = 7 cm, LA = 6 cm, AY = 6 cm, PA = 8 cm and LY = 7 cm
Solution
Given PLAY, PL = 7 cm, LA = 6 cm, AY = 6 cm, PA = 8 cm and LY = 7 cm
Steps:
1. Drawn a line segment PL = 7 cm
2. With P and L as centers, drawn arcs of radii 8 cm and 6 cm respectively, let them cut at A.
3. Joined PA and LA.
4. With L and A as centers, drawn arcs of radii 7 cm and 6 cm respectively and let them cut at Y.
5. Joined LY, PY and AY.
6. PLAY is the required quadrilateral.
Calculation of Area:
Area of the quadrilateral PLAY = `1/2 xx "d" xx ("h"_1 + "h"_2) "sq.units"`
= `1/2 xx 8 xx (5.1 + 1.4) "cm"^2`
= `1/2 xx 8 xx 6.5 "cm"^2`
= 26 cm2
Area of the quadrilateral = 26 cm2
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