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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]