1.If both the length and width of a rectangular garden are increased by 20%, what is the percentage increase in the garden's area?
2.If the length of a rectangular plot is increased by 25%, by what percentage should the width be adjusted to maintain the same area?
3.A rectangular field has a length that is double its width. If the total area of the field is 6075 square meters, what is the length of the field?
4.A rectangle and a square each have a perimeter of 160 meters. The rectangle's area is 100 square meters less than the area of the square. What is the length of the rectangle?
5.A square has a diagonal measuring 4√2 cm. If another square has an area twice as large as the first square, what is the length of the diagonal of this second square?
6.What is the maximum length of bamboo that can fit inside a square plot measuring 100 square meters?
7.A rectangle has an area of 12 square meters, and its length is three times its width. What is the perimeter of this rectangle?
8.A rectangle has a perimeter of 60 meters. If its length is double its width, what is the area of the rectangle?
9.A rectangular plot measures 25 meters in length and 15 meters in width. Two perpendicular walkways, each 2 meters wide, intersect at the center of the plot. Grass is planted in the remaining area. What is the total grassy area in square meters?