Question

Hlaf the perimeter of a rectangular garden is 60m and height is 20 m more than its breath​

Answer 1

Correct Question:

Half the perimeter of a rectangular garden is 60 m and the length is 20 m more than its breadth. Find the dimensions of a rectangular garden.

Given:

✰ Half the perimeter of a rectangular garden = 60 m

✰ The length of a rectangular garden is 20 m more than its breadth.

To find:

✠ The dimensions of a rectangular garden.

Solution:

Rectangle:

A rectangle is a parallelogram with one of its angles equal to 90°.

Let's understand the concept first!

• Here we are provided that half the perimeter of a rectangular garden is 60 m. Perimeter is nothing but the total length of its boundary and we are provided with half of the perimeter of rectangle, so we will multiply it by 2 to get its full perimeter or the full length of its boundary.
• Then we will assume the breadth of the rectangle as x and,
• we know that the length of the rectangle is 20 m more than its breadth which means that 20 will be added to its breadth to get its length.
• After that by using the formula of perimeter of rectangle, we will find both the dimensions of rectangular garden.

Let's find out...✧

➛ Half the perimeter of a rectangular garden = 60 m

➛ Total perimeter of a rectangular garden = 2 × 60

➛ Total perimeter of a rectangular garden = 120 cm

Let the breadth of a rectangular garden be x,

then the length of a rectangular garden = breadth + 20 = x + 20

✭ Perimeter of a rectangle = 2(l + b) ✭

Here,

• l is the length of a rectangular garden.
• b is the breadth of a rectangular garden.

Putting the values in the formula, we have:

➤ 120 = 2( x + 20 + x )

➤ 120 = 2x + 40 + 2x

➤ 120 = 4x + 40

➤ 4x = 120 - 40

➤ 4x = 80

➤ x = 80/4

➤ x = 20

∴ The breadth of a rectangular garden = 20 m

Now,

➤ The length of a rectangular garden = x + 20

➤ The length of a rectangular garden = 20 + 20

➤ The length of a rectangular garden = 40 m

∴ The dimensions of a rectangular garden are 40 m and 20 m respectively.

_______________________________

Answer 2

Correct Question:

Half the perimeter of a rectangular garden is 60 m and the length is 20 m more than its breadth. Find the dimensions of a rectangular garden.

Given:

✰ Half the perimeter of a rectangular garden = 60 m

✰ The length of a rectangular garden is 20 m more than its breadth.

To find:

✠ The dimensions of a rectangular garden.

Solution:

Rectangle:

A rectangle is a parallelogram with one of its angles equal to 90°.

Let's understand the concept first!

Here we are provided that half the perimeter of a rectangular garden is 60 m. Perimeter is nothing but the total length of its boundary and we are provided with half of the perimeter of rectangle, so we will multiply it by 2 to get its full perimeter or the full length of its boundary.

Then we will assume the breadth of the rectangle as x and,

we know that the length of the rectangle is 20 m more than its breadth which means that 20 will be added to its breadth to get its length.

After that by using the formula of perimeter of rectangle, we will find both the dimensions of rectangular garden.

Let's find out...✧

➛ Half the perimeter of a rectangular garden = 60 m

➛ Total perimeter of a rectangular garden = 2 × 60

➛ Total perimeter of a rectangular garden = 120 cm

Let the breadth of a rectangular garden be x,

then the length of a rectangular garden = breadth + 20 = x + 20

✭ Perimeter of a rectangle = 2(l + b) ✭

Here,

l is the length of a rectangular garden.

b is the breadth of a rectangular garden.

Putting the values in the formula, we have:

➤ 120 = 2( x + 20 + x )

➤ 120 = 2x + 40 + 2x

➤ 120 = 4x + 40

➤ 4x = 120 - 40

➤ 4x = 80

➤ x = 80/4

➤ x = 20

∴ The breadth of a rectangular garden = 20 m

Now,

➤ The length of a rectangular garden = x + 20

➤ The length of a rectangular garden = 20 + 20

➤ The length of a rectangular garden = 40 m

∴ The dimensions of a rectangular garden are 40 m and 20 m respectively.

_______________________________

Step-by-step explanation:

Hope this answer will help you.✌️