That's going to depend on what shape the shape is, and on where the 9 yards
actually fits on it. We have no idea yet what a "9 yard shape" looks like.
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A square yard is a measure of area that represents an area that is one yard by one yard in size. If you have a roll of paper 1 yard wide and you pull some off the roll and cut it off at a length of 1 yard, your piece of paper is 1 yard by 1 yard in size. It has 1 square yard of area. Note that, because the yard is three feet in length, the square yard is a square that is 3 feet by 3 feet, or 9 square feet. A square yard is 9 square feet. The reason we went here is because if the square yard doesn't have to be a perfect square. It can be a rectangle that is 2 feet by 4 1/2 feet in size. As long as the product of the length and the width is 1 square yard (or 9 square feet), you'll have that square yard. Extending the idea, any flat shape can have a square yard of area. As long as the equivalent "shaded area" of the shape equals the shaded area of a square that is 1 yard by 1 yard, both have an area of 1 square yard.
Knowing that the area is 1 square yard doesn't tell you the dimensions, or even the shape. IF the square yard of area is in the shape of a square, then each side is 3 feet long. But it doesn't have to be a square. If it's any other rectangle, and the length of the rectangle is 'L' feet and the width is 9/L feet, then the area is always 1 square yard. There are an infinite number of rectangular possibilities like this, and another infinite number of other shapes that it could be.
1 square yard of area = 9 square feet of area, even if there's nothing in the area.
They are both a measure of area. But there are 9 square feet in one square yard.
Area = length x width. The entire backyard area is 15 x 20 = 300 yards. The area of the flower bed is 3 x 3 = 9 yards. To find the area of the yard only, subtract the flower bed from the entire backyard: 300 - 9= 291 yards.