Question 87568
Let the width of the rectangle be x in.
then length will be x + 26.

Area of rectangle = length X width = x(x + 26)
Given area = 855 square inches

so, x(x + 26) = 855
x^2 + 26x = 855
x^2 + 26x - 855 = 0

now factorize it;

(x+45)(x-19) = 0

now, x = 19 (discard the negative value coz width can't be negative)

length = x + 26 = 19 + 26 =45

Answer: length=45, width = 19