Question

the perimeter of a rectangle is 24 and the area is 27 square metre find its length and breadth​

Answer 1

Answer:

l = 9 and b = 3

Step-by-step explanation:

hello friend

given perimeter = 24

area = 27

perimeter = 2(l + b)

area = l × b

2(l + b) = 24

l + b = 12 let it be equation number 1

l × b = 27

let it be equation 2

let us find (l + b )²

(l + b )² = l² + b² + 2lb

(l + b)² = 12² = 144

2lb = 2 × 27 = 54

that implies

144 = l² + b² + 54

l² + b² = 144-54 = 90

now sum of squares of two numbers should be 90

the numbers will be 3 and 9 since 3² = 9 and 9² = 81

which altogether makes 90

so values of l and b are 9 and 3 respectively

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