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Title: Solve by answering the following questions Post by: cutie pie on Jan 7, 2021 I have a question, where I was given a large square with a side length (width) of x m and inside of that square, is a small square with a side length (width) 5 m. The large square part was shaded in the inside. I was then asked to find the area of the large square and the small square, and determine an expression for the area of the shaded part (But no factoring)
How is this done? After that part I was required to factor the expression and determine an expression for each dimension. Lastly, I was told that if x = 8 m, determine the actual value for each dimension. Thanks to anyone who can help me with this (: Title: Re: Solve by answering the following questions Post by: bio_man on Jan 7, 2021 Hello,
Could you write the question word-for-word and/or provide an illustration? Title: Re: Solve by answering the following questions Post by: cutie pie on Jan 7, 2021 Here's an illustration I did, if you still need the questions word-for-word, just let me know!
Title: Re: Solve by answering the following questions Post by: bio_man on Jan 7, 2021 If you're looking for the shaded part, you'd subtract the smaller square from the larger square
x^2 minus the area of the smaller square, which is 5 by 5. A = x^2 - 25 would be the expression. This expression is factorable as well, as it's a difference of squares: https://www.youtube.com/watch?v=QdgjYe_E0dw Therefore: A = (x - 5)(x + 5) [factored form] If you're given the value of x, substitute it in to get the area of the shaded region. |