Question

the perimeter of the rectangle is 76m if the length is of 20m find breath and area of it (with method) ​

Answer 1

• Breadth of rectangle is 18 m.
• Area of rectangle is 360 m².

Step-by-step explanation:

Given:-

• Perimeter of rectangle is 76 m.
• Length of rectangle is 20 m.

To find:-

• Breadth of rectangle.
• Area of rectangle.

Solution:-

Let, Breadth of rectangle be x.

Perimeter of rectangle = 2(l + b)

So,

Put the values in formula:

$\longrightarrow$ 76 = 2×(20 + x)

$\longrightarrow$ 76 = 40 + 2x

$\longrightarrow$ 76 - 40 = 2x

$\longrightarrow$ 36 = 2x

$\longrightarrow$ 36/2 = x

$\longrightarrow$ x = 18

Verification:-

$\longrightarrow$ 76 = 2×(20 + x)

• Put x = 18

$\longrightarrow$ 76 = 2×(20 + 18)

$\longrightarrow$ 76 = 40 + 36

$\longrightarrow$ 76 = 76

$\boxed{\sf Hence \: Verified.}$

We have taken,

Breadth be x

So,

Breadth of rectangle is 18 m.

Now,

We know,

Area of rectangle = Length × Breadth

$\longrightarrow$ 20 × 18

$\longrightarrow$ 360

Therefore,

Area of rectangle is 360 m².

Answer 2

Answer:

Given :-

• The perimeter of the rectangle is 76 m and the length is 20 m.

To Find :-

• What is the breadth and area of the perimeter.

Formula Used :-

✦ Perimeter of rectangle = 2(Length + Breadth)

❖ Area of rectangle = Length × Breadth

Solution :-

Given to find breadth,

• Perimeter = 76 m
• Length = 20 m

According to the question by using the formula we get,

⇒ 2(20 + x) = 76

⇒ 40 + 2x = 76

⇒ 2x = 76 - 40

⇒ 2x = 36

⇒ x = 36 ÷ 2

➠ x = 18 m

∴ The breadth of rectangle is 18 m .

Given to find area,

• Length = 20 m
• Breadth = 18 m

According to the question by using the formula we get,

↦ Area = 20 m × 18 m

➥ Area = 360 m²

∴ The area of rectangle is 360 m² .

Let's Verify :-

⇒ 2(20 + x) = 76

Put x = 18

⇒ 2(20 + 18) = 76

⇒ 2(38) = 76

⇒ 76 = 76

➠ LHS= RHS

Hence, Verified ✔