Thank you for visiting The perimeter of a rectangle is 85 feet The length of the rectangle is 2 x 16 and the width is 3x 1 What is. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
The perimeter of a rectangle is 85 feet. Therefore the perimeter is expressed as;
[tex]\begin{gathered} P=2(L+W) \\ P=2(2\lbrack x+16\rbrack+\lbrack3x-1\rbrack) \\ P=2(2x+32+3x-1) \\ P=4x+64+6x-2 \\ \text{Where the perimeter is 85, you now have} \\ 85=4x+6x+64-2 \\ \text{Collect like terms, and you have} \\ 85-64+2=4x+6x \\ 23=10x \\ \text{Divide both sides by 10} \\ 2.3=x \\ \text{The length of the triangle is therefore;} \\ L=2(x+16) \\ L=2(2.3+16) \\ L=2(18.3) \\ L=36.6ft \end{gathered}[/tex]The correct option is B; 36.6 feet
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