Answer:
The dimensions are 5 m by 20 m.
Step-by-step explanation:
The area = length * width = 100 m^2.
2 times the width + the length = 30 m.
So we have the equations:
wL = 100
2w + L = 30
From the first equation:
L = 100/w so substituting in the second equation, we have:
2w + 100/w = 30
Multiply through by w:
2w^2 + 100 = 30w
2w^2 - 30w + 100 = 0 Divide by 2:
w^2 - 15w + 50 = 0
(w - 5)(w - 10) =
w = 5 or 10m.
So L = 100/5 or 100/10
= 20 or 10.
As it is rectangular then w = 5 and L = 20.
