Question

The length of a rectangle is 6 yards less than triple the width. If the perimeter of the rectangle is 340 yards what are its dimensions?

Answer 1

length = 126 yards and width = 44 yards

let the width = w then length = 3w - 6

perimeter = 2( length + width)

               = 2( 3w - 6 + w) = 2( 4w - 6) = 8w - 12

noe perimeter = 340 hence

8w - 12 = 340

add 12 to both sides

8w = 340 + 12 = 352

divide both sides by 8 ⇒ w = $\frac{352}{8}$ = 44

thus width = 44 yards and length = ( 3 × 44) - 6 = 126 yards