A rectangle has length (x+4) cm and width (x₂) cm. Find it's area in terms x.
Mathematics
ScanSolve AI Answer
Step-by-step solution
3 stepsLet'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.
Write the formula for the area of a rectangle.
The area of a rectangle is given by the formula:
Area = length × widthSubstitute 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
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) cm²The area of the rectangle in terms of x is (x² + 2x - 8) cm².
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