Question

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

Answer 1

Area of rectangle = Length x Width

√7 x (2√5 - √15)

= 2√35 - √105 m²

Hope it helps!

Answer 2

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 :-

$\boxed{Area\:of\:rectangle=Length \times Width}$

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