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Mathematics

Area = 36 cm2 and height = 4.5 cm.

Rectilinear Figures

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Answer

We know that,

⇒ Area of rectangle = Base × Height

⇒ 36 = Base × 4.5

⇒ Base = 364.5\dfrac{36}{4.5} = 8 cm.

Steps of construction :

  1. Let adjacent sides AB = 4.5 cm and BC = 8 cm.

  2. Draw a line segment BC = 8 cm.

  3. Draw BX ⊥ BC and CY ⊥ BC.

  4. With B as center and radius equal to 4.5 cm draw arc cutting BX at A.

  5. With C as center and radius equal to 4.5 cm draw arc cutting CY at D.

  6. Join AD.

Area = 36 cm2 and height = 4.5 cm. Construction of Polygons, Concise Mathematics Solutions ICSE Class 9.

Hence, ABCD is the required rectangle.

Construct a trapezium ABCD, when :

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