Question

The area of a square field is 5184 cm2

. A rectangular field,

whose length is twice its breadth has its perimeter equal to the

perimeter of the square ffield Find the area of the rectangular

field.​

Answer 1

Answer:

$4608 {cm}^{2}$

Step-by-step explanation:

let the length of the square field is x

$and \: the \: breadth \: of \: the \: rectangular \: is \: y \\ therefor \: the \: length \: of \: the \: rectangular \: is \: 2y \\ accordingly \\ 4x = 2(y + 2y) \\ 4x = 2 \times 3y \\ 4x = 6y \\ now \: the \: length \: of \: the \: square \: field \: is \: \sqrt{5184 } \\ = 72cm \\ therefor \: y = \frac{72 \times 4}{6 } \\ 48cm \\ then \: the \: length \: is = 2 \times 48 \\ = 96cm \\ then \: the \: area \: is = 48 \times 96 {cm}^{2} \\ = 4608 {cm}^{2}$