Question

the perimeter of the rectangle is 60cm take x as the breadth and Express length in terms of x if the area of the rectangle is 216 CM square find the value of x

Answer 1

Step-by-step explanation:

Given the perimeter of the rectangle is 60 cm take x as the breadth and Express length in terms of x if the area of the rectangle is 216 square cm find the value of x

• Given perimeter of the rectangle is 60 cm
•       So 2(l + b) = 60
•        So 2(l + x) = 60 (breadth = x)
•              l + x = 30
•                l = 30 – x
• Area of the rectangle = l x b
•                   216 = l x b
•                  216 = (30 – x) x
•                   30 x – x^2 – 216 = 0
•                   x^2 – 30 x + 216 = 0
•                   x^2 – 18x – 12x + 216 = 0
•                  x(x – 18) – 12(x – 18) = 0
•                      (x – 18) (x – 12) = 0
•                         x = 18, 12
•                Length = 30 – x
•                             = 30 – 18
•                              = 12 cm
•  Therefore length = 12 cm and breadth = 18 cm

Reference link will be

https://brainly.in/question/17018880