Question

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

WEST, WS = 7.5 cm

Answer 1

Given: diagonal = 7.5 cm

Rough Diagram


Steps:

1. Drawn a line segment WS = 7.5 cm.

2. Drawn the perpendicular bisector XY to WS. Let it bisect BS at O.

3. With O as centre, drawn an arc of radius 3.7 cm on either side of O which cut OX at T and OY at E

4. Joined BE, ES, ST and BT.

5. WEST is the required square.

Calculation of Area:

Area of the square WEST = a² sq.units

= 5.3 × 5.3 cm²

= 28.09 cm²