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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 8

Construct the following rectangles with the given measurements and also find their area. LAND, LA = 8 cm and AD = 10 cm - Mathematics

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Question

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

LAND, LA = 8 cm and AD = 10 cm

Diagram

Solution

Given: LA = 8 cm and AD = 10 cm

Rough Diagram


Steps:

1. Drawn a line segment LA = 8 cm.

2. At L, constructed LX ⊥ LA.

3. With A as centre, drawn an arc of radius 10 cm and let it cut at LX at D.

4. With A as centre and LD as radius drawn an arc. Also with D as centre and LA as radius drawn another arc. Let then cut at N.

5. Joined DN and AN.

6. LAND is the required rectangle.

Calcualtion of area:

Area of the rectangle LAND = l × b sq.units

= 8 × 5.8 cm2

= 46.4 cm2

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Construction of a Rectangle When a Side and a Diagonal Are Given.
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Chapter 5: Geometry - Exercise 5.5 [Page 209]

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Samacheer Kalvi Mathematics [English] Class 8 TN Board
Chapter 5 Geometry
Exercise 5.5 | Q III. (ii) | Page 209
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