two fields have the same perimeter one is a square of side 72 Metre and another is a rectangle of length 80 meter which plot has the greater area and by how much?
Answers
GIVEN :-
Two Field one is square and another is rectangle.
Both have equal perimeter
Side if square = 72m
Length of rectangle = 80m
TO FIND :- Which has greater area and by how much?
FORMULA :-
Area of square = (SIDE)^2
Area of rectangle = Breadth * Length
Perimeter of square = 4 * Side
Perimeter of rectangle = 2(Length +
Breadth)
SOLUTION :-
In order to solve it we will first find the breadth of the rectangle.
According to question,
Perimeter(Square) = Perimeter(Rectangle)
=>4 * 72 = 2 ( 80 + B )
=> 2 * 72 = 80 + B
=> 144 = 80 + B
=> B = 64m
Now, we shall calculate area of both the fields,
ar(square)= (72*72)m^2 = 5,184 m^2
ar(rectangle)=(64*80)m^2 = 5,120 m^2
Therefore, square field has larger area.
Difference in area is 5184 - 5120 = 64m^2
Square has larger area by 64m^2 (ANS)