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

Question

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

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Thu Thảo 4 years 2021-08-05T17:34:05+00:00 2 Answers 20 views 0

Answers ( )

    0
    2021-08-05T17:35:44+00:00

    Area of rectangle = Length x Width

    √7 x (2√5 – √15)

    = 2√35 – √105 m²

    Hope it helps!

    0
    2021-08-05T17:35:58+00:00

    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

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