Question

if the perimeter of a rectangle is 100cm and its length is 32m, then find the length of the rectangle.​

Answer 1

Answer:

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Answer 2

Answer:

The breadth of the rectangle is 18cm.

Step-by-step explanation:

✦ Correction in the question ✦

Q. if the perimeter of a rectangle is 100cm and its length is 32cm, then find the breadth of the rectangle.

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Given that,

Perimeter of a rectangle is 100cm.

It's length is 32cm.

Here, perimeter and the length is given we need to find the breadth of the rectangle.

We know that,

✦ Perimeter of a rectangle = 2(l + b)

We have,

→ l (length) = 32m.

→ b (breadth)

→ perimeter = 100cm.

• Considering b as the breadth of the rectangle.

✦ From the given values :

⇒ perimeter of the rectangle = 2(l + b)

⇒ 100 = 2(32 + b)

⇒ 100/2 = 2(32 + b)/2 [dividing 2 both sides]

⇒ 50 = (32 + b)

⇒ 50 = 32 + b [Opening brackets]

⇒ 50 - 32 = 32 + b - 32 [Subtract 32 both sides]

⇒ 18 = b

Therefore, breadth is 18 cm.

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Verification :

• As we've got the breadth of the rectangle if we calculate the data again we must the perimeter of the rectangle as 32cm again.

Again,

⇒ Perimeter of the rectangle = 2(l + b)

⇒ 100 = 2(32 + 18)

⇒ 100 = 2(50)

⇒ 100 = 100

• So the perimeter is 100cm again.

And also, L. H. S. = R. H. S.

✦ Hence verified ✦

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