Let's begin with recalling that the perimeter of a rectangle is twice the sum of the length and width. Since we know that the perimeter is 98 feet, we can write an equation. Let l be the length and w be the width of the rectangle.
2(l+w)=98
Now, we will use the fact that the ratio of the length to the width is 5: 2. Using this, we can express l using the w-term.
The length of this rectangle is 35 feet. Finally, we will find the area of this rectangle by multiplying its length, 35, and width, 14.
35*14=490
The area of this rectangle is 490 square feet.
