Topic :–

Mensuration

Given :–

A rectangle has length of √7 meters and width of ( 2√5 – √15 ) meters.

To Find :–

Area of rectangle.

Formula to be Used :-

[tex]\boxed{Area\:of\:rectangle=Length \times Width}[/tex]

Solution :–

It is given that,

Length = √7 meters

Width = ( 2√5 – √15 ) meters

Applying formula,

Area = Length × Width

Area = √7 × ( 2√5 – √15 ) sq. meters

Area = ( 2√5 × √7 – √15 × √7 ) sq. meters

Area = ( 2√( 5 × 7 ) – √( 15 × 7 ) ) sq. meters

Area = ( 2√35 – √105 ) sq. meters

Answer :–

So, area of given rectangle is

( 2√35 – √105 ) sq. meters

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