A rectangle has length (x+4) cm and width (x_2) cm. Find it's area in terms x.
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.
ScanSolve AI Answer
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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