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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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Mathematics
4 years
2021-08-05T17:34:05+00:00
2021-08-05T17:34:05+00:00 2 Answers
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Answers ( )
Area of rectangle = Length x Width
√7 x (2√5 – √15)
= 2√35 – √105 m²
Hope it helps!
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 :-
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