The length of a rectangle is 3 cm longer than its width. If the perimeter of the rectangle is 54 cm, find its length and width.
Mathematics · Middle School · Sun Jan 24 2021
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Given the statement:
The length of a rectangle is 3 cm longer than its width.
Perimeter of the rectangle = 54 cm
Find the length and the width rectangle.
Formula for the perimeter of the rectangle:
P = 2l + 2w
Solution:
In order to find the length and the width rectangle, we simply represent the given values.
Width = x
Length = 3 + x
Represent the values in the formula for the perimeter of the rectangle.
P = 2l + 2w
54 = 2(3 + x) + 2x
54 = 6 + 4x + 2x
54 = 6 + 6x
Transpose 6 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
6x = 54 -6
6x = 48
Divide both sides by 6 in order to determine the value of x.
6x/6 = 48/6
x = 8
Wdith = 8 cm
Length = 3cm + 8 cm
Length = 11 cm
Final answer:
Width = 8 cm
Length = 11 cm