the area of a square field is 5184 m2. A rectangular field, whose length is twice its breadth, has its perimeter equal to the perimeter of the square field. Find the area of the rectangular field.
Answers
Answer:
The area of the square field = 5184 sq m.
Each side of the square field = 5184^0.5 = 72 m.
Perimeter of the square field = 4*72 = 288 m.
Perimeter of the rectangular field = 288 m.
Length of the rectangular field is 2B, where B = breadth of the field.
Hence 2(2B+B) = 288, or
3B = 288/2 = 144, or
B = 144/3 = 48 m so length = 2*48 = 96 m.
Area of the rectangular field = 96 * 48 = 4608 sq m.
Question
the area of a square field is 5184 m2. A rectangular field, whose length is twice its breadth, has its perimeter equal to the perimeter of the square field. Find the area of the rectangular field.
Answer✏️
The area of a square field is 5184 m2. A rectangular field, whose length is twice its breadth, has its perimeter equal to the perimeter of the square field. What is the area of the rectangular field?
The area of the square field = 5184 sq m.
Each side of the square field = 5184^0.5 = 72 m.
Perimeter of the square field = 4*72 = 288 m.
Perimeter of the rectangular field = 288 m.
Length of the rectangular field is 2B, where B = breadth of the field.
Hence 2(2B+B) = 288, or
3B = 288/2 = 144, or
B = 144/3 = 48 m so length = 2*48 = 96 m.
Area of the rectangular field = 96 * 48 = 4608 sq m.