+3 votes
by kratos

Perimeter of a rectangle is 18 cm. Its sides are in the ratio 3 : 4. Draw the rectangle.

1 Answer

+6 votes
by kratos
 
Best answer

Perimeter of rectangle = 18 cm

Sides are in the ratio = 3 : 4

Step of construction :

(i) Draw XY = 9 cm.

(ii) Make ∠YXZ < 90° and mark the points A1, A2, A3, A4, A5, A6 and A7.

Such that XA1 = A1 A2 = A2 A3 = A3 A4 = A4 A5 = A5 A6 = A6 A7

(iii) Join A7 Y

(iv) Make ∠XA7Y = ∠XA3P

∴ XP : PY = 3 : 4

(v) ∠SPY = 90°

(vi) Taking centre P and radius equal to XP draw a arc which intersect PS at the point Q. PQRY is a rectangle.

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