Answer:
Width = 26 inches
Step-by-step explanation:
The area of the rectangle is:
area = (length*width)
416 = a*b
a = b/2 + 3
a = length
b = width
then:
416 = (b/2 + 3) (b)
416 = b*b/2 + b*3
416 = b²/2 + 3b
0 = b²/2 + 3b - 416
b = {-(+3)±√((3²)-(4*1/2*-416))} / (2*1/2)
b = {-3±√(9+832)} / 1
b = {-3±√841}
b = -3±29
only take the positive value becuse is a natural number
b = -3+29
b = 26 inches
a = b/2 + 3
a = 26/2 + 3
a = 13 + 3
a = 16 inches
Check:
416 = 16 * 26
First step: x= ± √ 121
Second step and correct answer: x= ± 11
Because: x^2 = x= ± √
U just need to add row by row
I'll do the first 1: 1+1=2
1+2=3
1+3=4
1+4=5
1+5=6
