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51. Construct a quadrilateral ABCD, where AB = 4.3 cm, BC = 5.2 cm. CD = 6.5 cm, ∠B = 105° and ∠C = 60°.

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52. Construct a quadrilateral PQRS where PQ = 5.4 cm. ∠P = 60°, ∠Q = 105°, ∠R = 75° and ∠S = 120°.

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53. Construct a quadrilateral ABCD such that AB = 4.5 cm, BC = 3.2 cm, CD = 5 cm, DA - 2.6 cm and BD = 4.5 cm.

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54. Draw a rhombus ABCD such that BD = 5.6 cm and AC = 6.6 cm.

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55.

Draw a rectangle PQRS in which PQ = 7.2 cm and QR = 5.4 cm.

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Steps of construction:
I. Draw a line segment AB = 4.5 cm.
II. At B, construct

angle ABX space equals space 90 degree.

III. From

BX with rightwards arrow on top comma

cut off BC = 5.1 cm.
IV. AT C, draw

CY with rightwards arrow on top

such that

angle BCY space equals space 120 degree.

V. From

CY with rightwards arrow on top comma

cut off CD = 3.9 cm.
VI. Join AD.
Thus, ABCD is the required quadrilateral.

Steps of construction:I. Draw a line segment AB = 4.5 cm.II.

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57. Draw a square ABCD such that AB = 6.3 cm.

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58. Draw a parallelogram PQRS such that PQ = 6 cm and QR = 3.6 cm and PR = 8.1 cm.

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