i need the perimeter and width of a rectangle if the length is 12 feet.

Question

If the length to the width is 4 to 3 and the actual length is 12 feet what is its width

 

Answer 1

If the ratio of the length to the width is 4:3, then this can be written as 4x:3x.

 

You are given that the length equals 12, therefore 4x = 12.  Solving this for x, gives you x = 3.

 

This gives you a length of 4x = 12 and a width of 3x = 9.

 

The perimeter is equal to 2l + 2w or 2(l + w).  This gives you 2(12) + 2(9) = 42.

 

The perimeter is 42 feet

Answer 2

 

Hi Hannah,

 

From the given statement,

 

     length : width = 4 : 3 = 12 : x

 

where x is the width to figure out.

 

     4 : 3 = 12 : x

 

     4x = 36

 

     x = 9

 

The width is 9 feet.

 

The perimeter is

 

two times the length plus two times the width,

 

     2·12 + 2·9 = 42.

 

The perimeter is 42 feet.