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Someone please help me on this I'm unsure if my answer is correct

Someone Please Help Me On This Im Unsure If My Answer Is Correct class=

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Answer:

A. length = 23 cm; width = 5 cm

Step-by-step explanation:

So if 4 times the width would be [tex]4w[/tex] and 3 more than would be [tex] + 3[/tex], the equation would be [tex]l = 4w + 3[/tex]. If the perimeter is 56, then the new equation, [tex]2(4w + 3) + 2(w) = 56[/tex] can be formed. This simplifies to [tex]8w + 6 + 2w = 56[/tex], then to [tex]10w + 6 = 56[/tex], then to [tex]10w = 50[/tex], and finally, [tex]w = 5[/tex]. So the width is 5, and now plug it into the first equation.

[tex]l = 4(5) + 3[/tex], becomes [tex]l = 20 + 3[/tex], becomes [tex]l = 23[/tex].

So the dimensions are: length = 23 cm, width = 5 cm.

*And just to be sure, [tex]2(23 + 5) = 2(28) = 56[/tex] which is correct.

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