Answer :
The perimeter of the rectangle is the sum of all the sides of a rectangle. The value of x, if the perimeter of the rectangle is 118 units is 9.
What is the perimeter of the rectangle?
The perimeter of the rectangle is twice the sum of its length and its width.
[tex]\rm Perimeter = 2(Length + Breadth)\\[/tex]
As it is given that the length of the rectangle is (4x+8), while the width of the rectangle is (2x-3), therefore, the perimeter of the rectangle can be written as,
[tex]\rm Perimeter = 2(Length + Breadth)\\[/tex]
Also, it is mentioned in the problem that the perimeter of the rectangle is 118 units, therefore, the perimeter of the rectangle can be written as,
[tex]118 =2[ (4x+8)+(2x-3)]\\\\118 = 2(4x+8+2x-3)\\\\59 = 6x+5\\\\54=6x\\\\x = \dfrac{54}{6} = 9[/tex]
Thus, the value of x, if the perimeter of the rectangle is 118 units is 9.
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