The perimeter of a rectangular garden is 60 feet. If the length of the field is twice the width, what is the area of the field, in square feet?
I need to find the area of a rectangle, which is the product of the length and the width. But I don't know the length and the width, only that the perimeter is 60 feet and the length is twice the width. So I need to use the formula for the perimeter of a rectangle, which is 2(length + width). If I let x be the width, then the length is 2x, and the perimeter is 2(2x + x) = 6x. Since the perimeter is 60 feet, I can set 6x equal to 60 and solve for x. Dividing both sides by 6, I get x = 10. So the width is 10 feet, and the length is 2x = 20 feet. Now I can find the area by multiplying the length and the width. The area is 10 times 20, which is 200 square feet.

