Let's start by finding the area of the original tapestry. We know that:
Area = length x width
We don't know the exact dimensions, but we can assume that the length and width are equal, so we can call them both "x". Then:
Area = x * x = x^2
We're told that Sandra takes 28 hours to finish this tapestry, so her rate of work is:
Rate = Area / Time = x^2 / 28
Now we need to find the area of the larger tapestry. We're told that it's 50% longer and 30% wider than the original. If the original length and width were both x, then the new length is 1.5x (50% longer) and the new width is 1.3x (30% wider). So the area of the new tapestry is:
New area = (1.5x) * (1.3x) = 1.95x^2
Now we can use the same rate of work to find out how long it will take Sandra to finish the new tapestry:
New time = New area / Rate = (1.95x^2) / (x^2 / 28) = 54.6 hours
Rounding to the nearest hour, it will take Sandra approximately 55 hours to finish the bigger rectangular tapestry.