Problem 124

{{searchResults.length}} results for “{{searchWords}}” No results found for “{{searchWords}}” × back to contents

§{{x[0]}} {{x[1]}}

Table of Contents

Problem 124: (2002 AMC 12b, 24)

A convex quadrilateral $ABCD$ with area $2002$ contains a point $P$ in its interior such that $PA = 24, PB = 32, PC = 28, PD = 45$. Find the perimeter of $ABCD$. $\mathrm{(A)}\ 4\sqrt{2002} \qquad$ $\mathrm{(B)}\ 2\sqrt{8465} \qquad$ $\mathrm{(C)}\ 2(48+$ $\sqrt{2002}) \qquad$ $\mathrm{(D)}\ 2\sqrt{8633} \qquad$ $\mathrm{(E)}\ 4(36 + \sqrt{113})$

Solution

Exercise 124: Solution

A convex quadrilateral $ABCD$ with area $168$ contains a point $P$ in its interior such that $PA=9, PB=12, PC=5, PD=12$. Find the perimeter of $ABCD$.

Search Go to Prev Next

Contact Us