Question

Rectangle R has length 30 and width 10, and square S has length 5. The perimeter of S is what fraction of the perimeter of R?

Answer 1

1/4

Step-by-step explanation:

a) find the perimeter of R using the formula: 2l+2w

2(30)+2(10)=60+20=80

b) find the perimeter of S using the formula: 4l

4(5)=20

c) to find the fraction s is of r divide the perimeter of s by the perimeter of r:

perimeter of S/perimeter of R = 20/80=1/4

Answer 2

The perimeter of square S is 20, and the perimeter of rectangle R is 80. To find the fraction of S's perimeter relative to R's, divide S's perimeter by R's, resulting in 1/4. Hence, the perimeter of S is one-fourth the perimeter of R.

Step-by-step explanation:

The perimeter of square S is what fraction of the perimeter of rectangle R? Given that rectangle R has a length of 30 and width of 10, and square S has a length of 5

Firstly, we calculate the perimeter of rectangle R using the formula P = 2l + 2w, where l is length and w is width. So the perimeter of R is 2×30 + 2×10 = 60 + 20 = 80.

Next, we find the perimeter of square S. Since all four sides of a square are equal, the perimeter is 4 times the length of one side: 4×5 = 20.

To find what fraction the perimeter of S is of the perimeter of R, we divide the perimeter of S by the perimeter of R: 20/80, which simplifies to 1/4. Therefore, the perimeter of S is one-fourth of the perimeter of R.