Julisa wants to find the perimeter of her bedroom that is similar to her brothers . If her brothers bedroom is 12ft long and 10ft wide and her bedroom is 10 ft long what is the perimeter of her room

Respuesta :

Answer:

The perimeter of her bedroom is 36.67 ft.

Step-by-step explanation:

Julisa's bedroom is similar to her brother's bedroom.

If the width of her bedroom is w and the length is l and her brother's room has width W and length L, then

[tex]\frac{w}{W} = \frac{l}{L}[/tex] ............. (1)

Now, the dimensions of her brother's bedroom are given by 12 ft long by 10 ft wide and her bedroom has length 10 ft.

Then, from equation (1) we get,

[tex]\frac{w}{10} = \frac{10}{12}[/tex]

w = 8.33 ft.

Therefore, the perimeter of her bedroom is 2(8.33 + 10) = 36.67 ft. (Approximate) (Answer)