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?

Answer 1

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

Answer 2

The length of rectangle is 2x+5 units and the breadth is 3x_1 units .find the perimeter and area of the rectangle