Question

a rectangular carpet has a diagonal of 4.6 m if one side of the carpet is 1.8 metre then what is the area of the carpet

Answer 1

Heya

Here's your answer !!

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GIVEN THAT :

( Refer to the pic for diagram )

ABCD is a rectangular carpet

AB ( Length ) = 1.8 m

AC (diagonal ) = 4.6 m

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TO FIND :

Area of the carpet

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SOLUTION :

First we'll find the breadth of the carpet

BC = ?

By Pythagorous Theorem,

=> AB^2 + BC^2 = AC^2

=> BC^2 = AC^2 - AB^2

=> BC^2 = ( 4.6 )^2 - ( 1.8 )^2

=> BC^2 = 21.16 - 3.24

=> BC = $\sqrt{17.92}$

=> BC = 4.23 m


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Area = L × B

=> AB × BC

=> 1.8 × 4.23

=> 7.614 m^2 ANS


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THANKS !!