Answer:
The value of x is 9
Step-by-step explanation:
Perimeter of rectangle = 2(Length+Breadth)
Length= (2+x)ft
Breadth= 3ft
Perimeter= 28ft
P=2(L+B)
[tex]28 = 2((2 + x) + 3) \\ 28 = 2(2 + x + 3) \\ 28 = 2(5 + x) \\ 28 = (2 \times 5) + (2 \times x) \\ 28 = 10 + 2x \\ [/tex]
Collect like terms
[tex]28 - 10 = 2x \\ 18 = 2x \\ \\ \frac{18}{2} = \frac{2x}{2 } \\ \\ 9 = x \\ x = 9[/tex]
Checking
P= 2(L+B)
[tex]28 = 2((x + 2) + 3) \\ 28 = 2((9 + 2) + 3) \\ 28 = 2(9 + 2 + 3) \\ 28 = 2(14) \\ 28 = 2 \times 14 \\ 28 = 28[/tex]
Confirmed
