The length of a rectangularfield is 8 meters less than twice its breadth. If the perimeter of
the rectangular field is 56 meters, find its length and breadth?find the length and breath
Answers
A soldier’s surprise
It is spring of 1943 during World War II. Standing among hundreds of new soldiers at Camp Grant, in Illinois, my father, Sam, just 18 years old, waits as a truck slowly drives by. A full field pack is randomly tossed to each soldier. “How strange,” my father thinks, as he sees his last name, Litrenti, marked on each item in his pack. “How did they know it was me when they tossed the pack?” He was impressed! Beating all odds, my father was tossed a field pack from World War I—his own father’s. —Submitted by Gail Litrenti-Benedetto, Park Ridge, Illinois.
Let the breadth = x
Length = 2x-8
Perimeter = 2×(l+b)
= 2×(x+2x-8)
= 2×(3x-8)
According to problem
2×(3x-8)=56
3x-8=
3x-8=28
3x=28+8
3x=36
x=
Breadth= x=12m
Length= 2x-8=2×12-8=24-8=16m