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

Answer 1

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