Question

Someone PLEASE PLEASE HELP!! I need this in one hour!! (20 POINTS)

PLEASE SOMEONE HELP

Answer 1

X=22 (Should make the rest of the problem easy to solve)

Explanation:

22x2 + 1 = 45

22 + 5 = 27

45 + 27 = 72 (The perimiter)

Answer 2

`\large\text{Hello there! :)}`

`\text{Formula for the perimeter: P = 6x + 12}\\\\\text{Dimensions: l = 21, w = 15}\\\\\text{Verification below.}`

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`\text{Begin by writing an equation for the perimeter of the rectangle.}\\\\\text{Formula: P = 2l + 2w}\\\\P = 2(2x + 1) + 2(x + 5)\\\\P = 4x + 2 + 2x + 10\\\\\text{Combine like terms:}\\\\\boxed{P = 6x + 12}\\\\\text{Solve for the dimensions:}\\\\72 = 6x + 12\\\\\text{Subtract 12 from both sides:}\\\\60 = 6x\\\\\text{Divide both sides by 6:}\\\\x = 10\\\\\text{Substitute in 10 for x in the equations for each side length:}\\\\l = 2x + 1\\\\l = 2(10) + 1\\\\\boxed{l = 20 + 1 = 21units}`

`w = (10) + 5\\\\\boxed{w = 15 units}`

`\text{Use the formula for the area of a rectangle to verify. A = l * w:}\\\\\boxed{A = 15 * 21 = 315 units^(2) }`