1.) Find the length and width of the lawn.

Let x be the width.

Let 2x be the length.

Area = 24 square meters.

Equation:

Area = length x width

24m² = (2x)(x)

Solution:

24 = 2x²

24/2 = x²

12 = x²

√12 = x

x = 3.46 meters = width

length = 2x

length = 2(3.36 m)

length = 6.72meters

ANSWER:

Length = 6.72meters

Width = 3.46meters

2. Find the length of its side.

Let s be the length.

area = 3s square meter

Equation:

Area = s²

Perimeter = 4s

s² = (3s)(4s)

Solution:

s² = 12s

s²/s = 12

s = 12meters = length of its side

A = 12s

A = 12(12)

A = 144m²

Answer:

length of its side = 12 meters