Question 1032636
let length be x
and width be y


Area = xy =42
y=42/x

Perimeter = 2(x+y)=46

x+y = 23

x+42/x = 23

multiply equation by x

x^2+42 = 23x

x^2-23x+42=0

x^2-21x-2x+42=0

x(x-21)-2(x-21)=0

(x-21)(x-2)=0

x=21 OR 2

The dimensions are 21 & 2 units