Question

the perimeter of a rectangular playground is 60 meter. if its area is 216 sq.m. find its length. PLZZZZZ ANSWER THIS QUESTION.​

Answer 1

let lenght be x and breath be y

perimeter of rectangle = 60

=> 2(length + breath) = 60

=> 2x + 2y = 60

=> x + y = 30....................eq.1

and

area of the rectangle = 216 m²

=>length x breath = 216 m²

=> xy = 216

=> x = 216/y....................eq.2

now substituting the value of x in eq1 we get

=>216/y + y = 30

=>216 + y² = 30y

=>y² - 30y + 216 = 0

=>( y - 18 )( y - 12 ) = 0

either y = 18 or y = 12

when y = 18 then x = 216/18 = 12

when y = 12 then x = 216/12 = 18

therefore

length of the rectangular playground

= 12 m or 18 m