Question

Ommunity Wellness Complex is being built in Del Rio. The perimeter of the rectangular playing field is 366 yards. The length of the field is 5 yards less than triple the width. What are the dimensions of the playing
his yards.
ath is yards

Answer 1

• Let width be x
• Length=3x-5

$\\ \rm\longmapsto Perimeter=2(L+B)$

$\\ \rm\longmapsto 2(x+3x-5)=366$

$\\ \rm\longmapsto 2(4x-5)=366$

$\\ \rm\longmapsto 4x-5=\dfrac{366}{2}$

$\\ \rm\longmapsto 4x-5=183$

$\\ \rm\longmapsto 4x=183+5$

$\\ \rm\longmapsto 4x=188$

$\\ \rm\longmapsto x=\dfrac{188}{4}$

$\\ \rm\longmapsto x=47$

$\\ \rm\longmapsto 3x-5=3(47)-5=141-5=146$