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Construct a Rectangle Pqrs, When Its Area = 33.8cm2 and Breadth = 6.5cm - Mathematics

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Question

Construct a rectangle PQRS, when its Area = 33.8cm2 and breadth = 6.5cm

Sum

Solution

Since area of rectangle = 33.8 cm2
And, breadth = 6.5 cm
Length = Area ÷ Breadth = 33.8 ÷ 6.5 = 5.2 cm
Steps of construction:
1. Draw BC = 6.5 cm
2. Through B, draw BP such that ∠B = 90°
3. From BP, cut BA = 5.2 cm
4. With A and C as centres and radii 6.5 cm and 5.2 cm respectively, draw arcs cutting each other at D.
5. Join AD and CD.
Thus, ABCD is the required triangle.

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Construction of a Rectangle When Its Length and Breadth Are Given.
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Chapter 20: Constructions of Quadrilaterals - Exercise 20.1

APPEARS IN

Frank Mathematics [English] Class 9 ICSE
Chapter 20 Constructions of Quadrilaterals
Exercise 20.1 | Q 18.2
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