the area of square fild is 5184m square. A rectungular fild whose lenght is twice its breath, has its parimeter equal to parimeter of the square fild. Find the area of rectangular fild.
Answers
Step-by-step explanation:
Area of the square field is 5184 m^2
Side of the square is √5184 =72
Perimeter of the square= 4 ×side =4× 72=288
Perimeter of the rectangle = 288m^2
(Since, perimeters of both square and rectangle are same)
Let the breadth of the rectangle be x.
According to the given data, length of the rectangle is two times the breadth= 2× breadth = 2×x= 2x
Perimeter of a rectangle= 2(l+b)= 2(x+2x)=2 (3x)=6x.
6x=288
x=288/6=48
2x= 2×48=96
Area of the rectangle =lb= 48×96=4608m^2
Answer:
4608m²
Step-by-step explanation:
Given -
Area of square field is 5184 m².
In a rectangle the length is twice of its breadth.
let the breadth of the rectangle be x m
so length is 2x m
According to the question,
The perimeter of the rectangle is equal to the perimeter of the square.
first,
we have to convert area of the square into perimeter.
we know that,
Area of square = (side)² unit sq.
=> 5184 = (side)²
=> √5184 = (side)
=> 72 = side
So,
side of the square is 72 m
now
according to the question,
2(l+b) = 4(side)
=> 2(2x + x) = 4 × (72)
=> 4x + 2x = 288
=> 6x = 288
=> x = 288 ÷ 6
=> x = 48
so,
breadth of the rectangle = x = 48m
length of the rectangle = 2x = 2×(48) = 96m
therefore
Area of the rectangle is
(length × breadth) unit sq.
= 96 × 48
= 4608 m sq.
Hence
Area of the rectangle is 4608m².