Question

A rectangular garden is fenced on three sides with a wall forming the fourth

Answer 1

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.