A rectangle has a length of √7 meters and a width of (2√5 - √15) meters. What is its area?

Mensuration

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

Area of rectangle.

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

So, area of given rectangle is

( 2√35 - √105 ) sq. meters