This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Answer
length × width
Let's find the area of the rectangle.
It appears there might be a typo in the width. Assuming "x_2" is meant to be (x-2) cm, we will proceed with that assumption.
Step 1: Write the formula for the area of a rectangle. The area of a rectangle is given by the formula: Area = length × width
Step 2: Substitute the given length and width into the formula. Length = (x+4) cm Width = (x-2) cm (assuming x_2 is a typo for x-2)
Area = (x+4) cm × (x-2) cm
Step 3: Expand and simplify the expression. Area = (x+4)(x-2) cm² Area = x(x-2) + 4(x-2) cm² Area = (x² - 2x + 4x - 8) cm² Area = (x² + 2x - 8) cm²
The area of the rectangle in terms of x is (x² + 2x - 8) cm².
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It appears there might be a typo in the width. Assuming "x_2" is meant to be (x-2) cm, we will proceed with that assumption.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.