Question

Maria is looking for the dimension of the rectangular garden that has an area 14m²and a perimeter of 18 meters?

Answer 1

Answer:

7 m and 2 m

Step-by-step explanation:

Perimeter of rectangle = 18 m

2(length + breadth)        = 18

         l + b                       = 18/2

         l + b                       = 9

          l                            = 9 - b

Area       =  14 m²

(length) × breadth = 14

l × b = 14

(9-b) (b) = 14

9b - b² = 14

b² - 9b + 14 =0

b² - 2b - 7b + 14 =0

b(b-2) - 7(b-2) = 0

(b-2) (b-7) = 0

∴ b = 2,7

⇒ breadth = 2 m

     length = 9 - breadth

                 = 9 - 2

                 = 7 m

⇒ breadth = 7 m

   length    = 9 - 7

                  = 2 m