Algebra
posted by Emma on .
The length of a rectangle is 4 units more than its width. The area of the rectangle is 25 more than 4 times the width. What is the width of the rectangle?

The wording is poor.
Did you mean:
" The numerical value of the area of the rectangle is 25 more than the numerical value of 4 times the width" ?
if so, then ...
width  x
length  x+4
x(x+4) = 4x + 25
x^2 + 4x = 4x + 25
x^2 = 25
x = 5
The width is 5 units
(length is 9 units)
check:
area = 45
is 45 greater than 4(5) by 25 ?
yes it is