Question

Construct the following squares with the given measurements and also find their area.

EAST, EA = 6.5 cm

Answer 1

Given: side = 6.5 cm

Rough diagram


Steps:

1. Drawn a line segment EA = 6.5 cm.

2. At E, constructed EX⊥ EA.

3. With E as centre, drawn an arc of radius 6.5 cm and let it cut EX at T.

4. With A and T as centre drawn an arc of radius 6.5 cm each and let them cut at S.

5. Joined TS and AS.

6. EAST is the required square.

Calcualtion of Area:

Area of the square EAST = a² sq.units

= 6.5 × 6.5 cm²

= 42.25 cm²