<h2><u>T</u><u>o</u><u>p</u><u>i</u><u>c</u><u> </u><u>:</u><u>-</u></h2>
Mensuration
<h2><u>G</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u><u>:</u><u>-</u></h2>A rectangle has length of √7 meters and width of ( 2√5 - √15 ) meters.
<h2><u>T</u><u>o</u><u> </u><u>F</u><u>i</u><u>n</u><u>d</u><u> </u><u>:</u><u>-</u></h2>Area of rectangle.
<h2><u>Formula to be Used :-</u></h2>It is given that,
Length = √7 meters
Width = ( 2√5 - √15 ) meters
<u>A</u><u>p</u><u>p</u><u>l</u><u>y</u><u>i</u><u>n</u><u>g</u><u> </u><u>f</u><u>o</u><u>r</u><u>m</u><u>u</u><u>l</u><u>a</u><u>,</u>
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
<h2><u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u> </u><u>:</u><u>-</u></h2>So, area of given rectangle is
( 2√35 - √105 ) sq. meters