Question

The area of a rectangular park is 180 m². The
park is fenced from three sides with 39 m of
barbed wire, leaving one of the longer sides
unfenced. Find the dimensions of the park.​

Answer 1

Answer:

dimensions are length =15 or 24

width =12 or 15/2

hope it helps thanks

Answer 2

$\rule{300}3$

$\Huge{\red{\underline{\textsf{Answer}}}}$

Let the length and the Breadth of the rectangular garden be x and y meter respectively.

$\large{\red{\underline{\tt{Given}}}}$

$\mapsto$xy = 180 sq m ......(1)

$\mapsto$2y + x = 39

$\mapsto$x = 39 - 2y

Putting the value of x in (1) we get

$\mapsto$( 39 - 2y )y = 180

$\mapsto$39 - 2y² = 180

$\mapsto$39y - 2y² - 180 = 0

$\mapsto$2y² - 39y + 180 = 0

$\mapsto$2y² - (24 + 15)y + 180 = 0

$\mapsto$2y² - 24y - 15y + 180 = 0

$\mapsto$2y(y - 12) - 15(y - 12) = 0

$\Longrightarrow$y = 12 or

$\Longrightarrow$y = 15/2 = 7.5

If y = 12, x = 39 - 24

$\leadsto$ x = 15

If y = 7.5, x = 39 - 15

$\leadsto$ x = 24

$\rule{300}2$