Look at the following square:
Express the area of the square in terms of .
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Look at the following square:
Express the area of the square in terms of .
Remember that the area of a square is equal to the side of the square squared.
The formula for the area of a square is:
Finally, substitute the data into the formula:
Look at the square below:
What is the area of the square?
Because that's only squaring the individual parts! When you square , you need to use the perfect square formula: , which gives .
Look at the diagram carefully! The side is labeled as 5+2X (which is the same as 5+2x). In a square, all four sides are equal, so each side has length 5+2x.
No! The question asks for the area in terms of x, meaning keep x as a variable. Your final answer should be the algebraic expression .
The question asks to "express the area," so is the correct form. Some teachers prefer this factored form, while others want it expanded. Check your specific instructions!
Great question! Perimeter adds all four sides: 4(5+2x) = 20+8x. Area multiplies length × width: (5+2x) × (5+2x) = . Don't mix them up!
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