The length of a rectangle is 2m more that it's width. The perimeter is 60m. What is its width?
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given:
Perimeter of the rectangle = 60 m
The length of a rectangle is 2 m more that it's width.
Formula for the perimeter of the rectangle:
P = 2 ( l + w )
Solution:
Let x = width
x + 2 = length
Equate the given representations to the formula for the perimeter of the rectangle.
P = 2 ( l + w )
Solve for x
60 = 2 ( x + x + 2)
60 = 2 ( 2x + 2)
60 = 4x + 4
transpose 4 to the notherr side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
4x = 60 - 4
4x = 56
Divide both sides by 4 in order cancel out 4x, leaving behind x.
4x/4 = 56/4
x = 14
Width = 14 m
Length = 2 + 14
= 16 m
Final answer:
Width = 14 m