Question

Quadrilateral CAMP below is a rhombus. The length of PQ is (x+2) units, and the length of QA is (3x-14)

Answer 1

Answer: 20

Explanation:

x+2=3x-14=

x=8

8+2+3(8)-14=
10+10= 20

Answer 2

in a rhombus, its diagonals meet at right-angles, namely all angles at Q are all right-angles, and also the diagonals cut each other in two equal halves.

what the dickens does all that mean? well, it means that PQ = QA, since the diagonal MC is cutting PA in two equal halves, therefore


`\bf \stackrel{PQ}{x+2}~~=~~\stackrel{QA}{3x-14}\implies 16=2x\implies \cfrac{16}{2}=x\implies 8=x \\\\\\ PA\implies PQ+QA\implies (8)+2~~+~~3(8)-14\implies 10+24-14 \\\\\\ 34-14\implies 20`