Final answer:
The correct equation to use based on the given information is P = 22w, as the length is ten times the width. Using the perimeter of 2090 feet, we solve for the width w, which is 95 feet, making the length 950 feet. The actual dimensions of the field are 950 ft by 95 feet.
Step-by-step explanation:
The question asks for the dimensions of a rectangular field given that the length is ten times the width and the perimeter is 2090 feet. To solve this, we let w be the width, then the length l would be 10w. The correct equation for the perimeter P of a rectangle, which is the total distance around the edge, is P = 2l + 2w. Since l = 10w, substituting gives us P = 2(10w) + 2w = 20w + 2w, which simplifies to P = 22w. Therefore, the correct equation based on the options provided would be none of them match exactly, but the closest to the derived equation would be (c) P = 5w + 2l if we assume a typo was made and '5w' should be '20w'.
Using P = 22w and the given perimeter of 2090 feet, we can solve for w. 2090 = 22w, so w = 2090 / 22 = 95 feet. Therefore, the width is 95 feet, and the length is 10w which is 10 × 95 = 950 feet. The actual dimensions of the field are 950 ft by 95 feet.