Please help

The perimeter of the rectangle shown is 36 inches. Write and solve an equation to find the value of x

The value of x is 3 and the length of the rectangle is 6 inches.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

Where W is the width of the rectangle  and L is the length of the rectangle

Given that the perimeter of a rectangle is 36 inches.

The perimeter of a rectangle = 2(L+W)

Here L = (4x-6) and W = 12

⇒ 36 = 2(4x-6) + 2(12)

Apply the distributive property of multiplication,

⇒ 36 = 24 + 8x - 12

Rearrange the terms and we get

⇒ 24 = 8x

Divide both sides by 8

⇒ x = 3

Therefore, the value of x is 3 and the length of the rectangle is 6 inches.

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