Respuesta :

perimeter is 2 width + 2 length = 98
2 (2x) + 2 (5x) = 98
4x+10x = 98
14x = 98
x = 7
so width = 2*7 = 14 feet
length = 5*7 = 35 feet
then the area of the rectangle is width*length = 14*35 = 490 feet

The length and width of the rectangle are 35 feet and 14 feet respectively.

It is given that

The perimeter of a rectangle = 98feet

Length to Width ratio = 5:2

Let us take length and width as 5x and 2x respectively,

What is the perimeter of a rectangle?

The perimeter of a rectangle with length l and width b is 2(l+b).

So, the perimeter of the rectangle =2(5x+2x) =14x

It is given that

Perimeter = 98feet

14x = 98

x = 7

So, Length = 5x = 5*7 =35

Width = 2x = 2*7 = 14

Therefore, the length and width of the rectangle are 35 feet and 14 feet respectively.

To get more about rectangles visit:

https://brainly.com/question/25292087