Math question please

The ratio of the side lengths of a quadrilateral is 6:2:3:7, and its perimeter is 126 meters. What is the length of the shortest side?

Note that 6 + 2 + 3 + 7 = 18 and 126/18 = 7

Therefore, the shortest side is 2 * 7 m

ProfRay

Let B be the shortest side :
--------------------------------------…

P = A + B + C + D

( 6 / 2 ) B + B + (3/2 ) B + (7/2 ) B = 126

9B = 126

B = 14 m. <-----------------------------------

A = ( 6/2 ) ( B ) = 42 m.

C = ( 3/2 ) ( B ) = 21 m.

D = ( 7 / 2 ) ( B ) = 49 m.

P = A + B + C + D

P = 42 + 14 + 21 + 49 = 126 m. [ OK ! ]

126*2/(6+2+3+7) =14