the perimeter of a rectangle is 24 and the area is 27 square metre find its length and breadth About the author Harper
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 mark me brainliest if you like my explanation and answer h hope it helps you Reply
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
mark me brainliest if you like my explanation and answer h
hope it helps you