Question

The perimeter of a rectangular garden is 160 m. Udit is 10 m wide , find its area

Answer 1

Given :

• Perimeter of the rectangular garden = 160 m.

• Breadth of the rectangular garden = 10 m.

To find :

• Area of the rectangular garden =?

Step-by-step explanation :

Let, the length of the rectangular garden be l.

It is Given that,

Perimeter of rectangular garden = 160 m.

We know that,

Perimeter of rectangle = 2(length + breadth)

Substituting the values in the above formula, we get,

➮ 160 = 2(l + 40)

➮ 160 = 2l + 80

➮ 2l = 160 - 80

➮ 2l = 80

➮ l = 80/2

➮ l = 40.

Therefore, Length of the rectangular garden = 40 m.

Now,

Area of the rectangular garden = Area of rectangle = length x breadth

Substituting the values in the above formula, we get,

= 40 × 40

= 1600.

Therefore, Area of the rectangular garden = 1600 m².

Answer 2

Qᴜᴇsᴛɪᴏɴ:-

The perimeter of a rectangular garden is 160m. If it's breadth is 10m, find it's area

Fᴏʀᴍᴜʟᴀᴇ Usᴇᴅ:-

• Perimeter of a rectangle = 2 * (length + breadth)
• Area of a rectangle = length * breadth

Aɴsᴡᴇʀ:-

Given: The garden is rectangular, perimeter = 160m, Breadth = 10m

Finding length:-

Perimeter = 2 * (length + breadth)

➭160 = 2 * (length + 10) m

➭160 = 2(length) + 20 m

➭160 - 20 = 2(length) m

➭140 = 2(length) m

➭length = 140/2 m

➭length = 70m

Finding area:-

Area = length * breadth

➭Area = 70m * 10m

➭ Area = 700m²

Ans. = Area = 700m²