Answer:
Width = 7 inches, Length = 11 inches
Explanation:
Call the width of the rectangle x.
Length = x + 4
Perimeter = x + x + (x + 4) + (x + 4) = 4x + 8
Area is equal to 5 inches more than 2 times the perimeter:
Area = 5 + 2(4x + 8) = 8x + 21
The area of a rectangle also equals length times width = x(x + 4) = x² + 4x
Therefore: x² + 4x = 8x + 21
Rearrange: x² - 4x - 21 = 0
Factorize: (x - 7 )(x + 3) = 0
Therefore: x = 7, -3
Since you can't have a negative length, width is 7 inches.
(Using the first equation:)
Length is therefore = 7 + 4 = 11 inches