Question

A garden is 90m long and 75 m broad. A path 5 m wide is to be built outside and around it . find the area of the path. Also find the area of the garden in hectare.

Need good answer

Answer 1

Answer:

Hlo

here your answer

Step-by-step explanation:

Area of original garden =90×75=6750 m

2

After path is added around rectangle, new length =90+2×5=100 m

New breadth =75+2×5=85 m

Area of rectangle with path =100×85=8500 m

2

So,

Area of path = Area of rectangle with path − Area of rectangle without path

Area of path =8500−6750

=1750 m

2

We know,

1 m

2

=0.0001 hectare

So,

6750 m

2

=6750×0.0001

=0.675 hectare

Hence area of ground =6750 m

2

=0.675 hectares

Answer 2

$\huge \boxed{ \underline{ \underline{ \bf{QuestioN :}}}}$

A garden is 90m long and 75 m broad. A path 5 m wide is to be built outside and around it . find the area of the path. Also find the area of the garden in hectare.

______________________________

GiveN :

• A garden is 90 m long and 75 m broad. A path 5 m wide is to be built outside and around it.

To FiNd :

• What is the area of the path and the area of the garden in hectare.

$\huge \boxed{ \underline{ \underline{ \bf{SolutioN :}}}}$

First, we have to find the area of the garden,

As we know that,

❖ Area of a rectangle = Length × Breadth

Given :

• Length of a garden = 90 m
• Breadth of a garden = 75 m

According to the question by using the formula we get,

↦ Area of a garden = 90 m × 75 m

➡ Area of the garden = 6750 m²

Hence, the area of the garden is 6750 m².

Again, we have to find the length and breadth of a outer rectangle,

➦ Length of a outer rectangle,

↬ 90 m + 10

↬ 100 m

➦ Breadth of a outer rectangle,

↬ 75 m + 10

↬ 85 m

Again, to have to find the area of the outer rectangle,

Given :

• Length of a outer rectangle = 100 m
• Breadth of a outer rectangle = 85 m

Then,

✯ Area of a rectangle = Length × Breadth

According to the question by using the formula we get,

→ Area of a outer rectangle = 100 m × 85 m

➥ Area of a outer rectangle = 8500 m²

Hence, the area of a outer rectangle is 8500 m².

Again, we have to find the area of the path,

As we know that,

✫ Area of the path = Area of outer rectangle - Area of the garden ✫

Then,

Given :

• Area of outer rectangle = 8500 m²
• Area of the garden = 6750 m²

According to the question by using the formula we get,

↦ Area of the path = 8500 m² - 6750 m²

➟ Area of the path = 1750 m²

∴ The area of the path is 1750 m².

Now, we have to find the area of the garden in hectare,

As we know that,

✪ 1 hectare = 1/10000 square ✪

Given :

• Area of the garden = 6750 m²

Then,

⇒ Area of the garden = 6750/10000

⇒ Area of the garden = 675/1000

➠ Area of the garden = 0.675

∴ The area of the garden is 0.675 hectare .

Hence,

• The area of the path is 1750 m².
• The area of the garden is 0.675 hectare .