Problema Solution
An entry in the Peach Festival Poster Contest must be rectangular and have an area of 1200 square inches. Furthermore, its length must be 20 inches longer than its width. Find the dimensions each entry must have.
Answer provided by our tutors
LET L AND W BE LENGHTH AND WIDTH OF AN ENRTY IN THR PEACH FESTIVAL CONTEST
PROVIDED INFORMATION
L=20+W
LET AREA =A
A= L W
W(20+W)=1200
W^2 + 20W -1200=0
SOLVING WE GET
W1=26.05 AND W2=-46.05
W2 IS NOT ACEEPTABLE AS DISTANCE CAN NOT BE NEAGTIVE OR UNREAL
HENCE W=26.05
SO L=20+26.05=46.05
HENCE DIMENSIONS ARE
L=46.05 AND W=26.05 INCHES
CHECK =LW=1199.60=46.05 MULTIPLY 26.05 =1200 IN NEAREST WHOLE NUMBER