a square field is 5184 m². A rectangular field, whose length is twice its perimeter equal to perimeter of the square field. Find the area of the rectangular field.
Answers
Answer:
side of sq=72
p=72*4=288m
l of rect=576
b of rect=288
area=288*576=165888m
Step-by-step explanation:
Question :
the area of a square field is 5184 metre square a rectangular field whose length is twice its breadth has its perimeter is equal to the perimeter of the square field .find the area of the rectangular field?
Solution:
Area of square = Side × side
side ² = 5184
side = 72 m
According to the question ;
length of rectangle = 2 breadth of rectangle
and
Perimeter of rectangle = perimeter of square
let the breadth of rectangle be x
then length of rectangle = 2x
perimeter of square = perimeter of rectangle
4× side = 2(l+b)
4× 72 = 2(2x+x)
288 = 6x
x = 48 m
Breadth of rectangular field = 48m
Length of rectangular field = 96m.
Area of rectangle = L×B
= 48× 96
= 4608 m²