It is increased by x sqrt(2).
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Doubling the width of a rectangular rug will affect the perimeter because the total length and width will be doubled. The area will be twice the length times the width.
quadruples it
If a square has a side length of 4 centimetres, then its area is equal to 4 x 4 = 16cm2 (16 square centimetres).If a square has a side length of 8 centimetres, then its area is equal to 8 x 8 = 64cm2 (64 square centimetres).Therefore, by doubling the side length of a square, the squares area quadruples.
Doubling the base of a triangle while keeping the height constant will double the area of the triangle. The area of a triangle is directly proportional to its base length, so increasing the base length by a factor of 2 will result in the area being multiplied by 2 as well.
Square root the area. The length and width of a square are always the same and length times width is the area so this is how you get the area.