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A) The dimensions are (x+10) by (x+10).
B) The perimeter is given by 4x+40.
C) The perimeter when x is 4 is 56.
The quadratic can be factored by finding factors of <em>c</em>, the constant, that sum to <em>b</em>, the coefficient of <em>x</em>. Our <em>c</em> is 100 and our <em>b</em> is 20; we want factors of 100 that sum to 20. 10*10=100 and 10+10=20, so those are what we need. This gives us (x+10)(x+10 for the factored form.
Since the dimensions are all (x+10), and there are 4 sides, the perimeter is given by 4(x+10). Using the distributive property we have 4*x+4*10=4x+40.
To find the perimeter when <em>x</em>=4, substitute 4 into our perimeter expression:
4*4+40=16+40=56.
C
hope that it’s correct.
A is the answer. good luck