Posted by **Emma** on Sunday, July 20, 2014 at 5:31pm.

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?

- Algebra -
**Reiny**, Sunday, July 20, 2014 at 6:06pm
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

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