stephanieeafford stephanieeafford
  • 07-09-2020
  • Mathematics
contestada

A rectangular garden has a width that is twice the length. The garden perimeter is 48 meters. What are the dimensions of the garden?

Respuesta :

suhanghaf
suhanghaf suhanghaf
  • 07-09-2020

Answer:Width  

= 10 meters

Length  

= 15 meters

Step-by-step explanation:

Given:

Width  = x

Length  = 2 x − 5

Perimeter  = 50

Perimeter = 2 × length + 2 × width

Substitute: 50 = 2 ( 2 x − 5 ) + 2 ( x )

Simplify: 50 = 4 x − 10 + 2 x 50 = 6 x − 10  60 = 6 x   = 10

Substitute (FINALLY)

Width: x = 10  

So width  = 10 meters

Length: 2 x − 5 = 2 ( 10 ) − 5  = 20 − 5 = 15

So length  = 15 meters

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