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

REST, ET = 8 cm

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Best answer

Given diagonal = 8 cm

Steps:

(i) Drawn a line segment ET = 8 cm.

(ii) Drawn the perpendicular bisector XY to ET. Let it bisect ET at O.

(iii) With O as centre, drawn an arc of radius 4 cm on either side of O which cut OX at R and OY at S

(iv) Joined ES, ST, TR and ER.

(v) REST is the required square.

Calculation of Area :

Area of the square REST = a2 sq.units 

= 5.7 × 5.7 cm2

= 32.49 cm2

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