Question

PLEASE HELP
PLEASE SHOW HOW U CHECKED UR WORK

also show regular work

Answer 1

The value of x is 9

Explanation:

Perimeter of rectangle = 2(Length+Breadth)

Length= (2+x)ft

Breadth= 3ft

Perimeter= 28ft

P=2(L+B)

`28 = 2((2 + x) + 3) \\ 28 = 2(2 + x + 3) \\ 28 = 2(5 + x) \\ 28 = (2 * 5) + (2 * x) \\ 28 = 10 + 2x \\`

Collect like terms

`28 - 10 = 2x \\ 18 = 2x \\ \\ (18)/(2) = (2x)/(2 ) \\ \\ 9 = x \\ x = 9`

Checking

P= 2(L+B)

`28 = 2((x + 2) + 3) \\ 28 = 2((9 + 2) + 3) \\ 28 = 2(9 + 2 + 3) \\ 28 = 2(14) \\ 28 = 2 * 14 \\ 28 = 28`

Confirmed