Question

The perimeter of a square garden is 444m.find the area of the garden in hectares

Answer 1

Answer:

1.2321 ha

Step-by-step explanation:

Solution:

1. Given the perimeter, find the length of the side

2. Given the side, find the area of the garden

3. Convert the units to hectares

Formula needed:

1. Perimeter = 4 x Side

2. Area = Side²

STEP 1: Find the side of the square:

Perimeter = 4 x Side

4 x side = 444 m

side = 444 ÷ 4

side = 111 m

STEP 2: Find the area:

Area = Side²

Area = 111²

Area = 12321 m²

STEP 3: Convert m² to hectare

1 m² = 0.0001 ha

12321 m² = 12321 x 0.0001

12321 m² = 1.2321 ha

Answer:  1.2321 ha

Answer 2

Given that,

Perimeter of a square garden = 444 m

To find,

Area of the square garden (in hectares) = ?

Before finding the area, we've to find the length of each side.

As we know,

Perimeter of a square = 4a

Perimeter of the square garden = 4a

Therefore, 444 m = 4a

$\frac{444\:m}{4}$ = a

$\frac{\cancel{444\:m}} {\cancel{4}}$ = a

111 m = a

As a = length of each side.

Therefore, length of each side = 111 m

Now, we gotta the length og each side. Now we can reckon area.

As we know,

Area of a square = a²

Area of the square garden = a²

[By substituting the values of a],

Area of the square garden = (111 m)²

Area of the square garden = 12321 m²

Now, we've gotta the value of area of the square garden. But we wanna the area in hectares and not in m².

So, we'll convert the m² into hectares.

As we know,

1 m² = 0.0001 hectares

Therefore, 12321 m² = 12321 $\times$ 0.0001 hectares

Therefore, 12321 m² = 1.2321 hectares

∴ area = 1.2321 hectares