Question

The area of a rectangle is 98 cm' and its length is 56 mm. Find its breadth and perimeter.​

Answer 1

Correct Question:

The area of a rectangle is 98 cm² and its length is 56 cm. Find its breadth and perimeter.​

Given:

A rectangle with

• Area = 98 cm²
• Length = 56 cm

What To Find:

We have to find the

• Breadth
• Perimeter

How To Find:

To find the breadth and perimeter we will use the formula,

• Area = l × b
• Perimeter = 2(l + b)

Solution:

• Finding the breadth.

Using the formula,

⇒ Area = l × b

Substitute the values,

⇒ 98 cm² = 56 cm × b

Take 56 to LHS,

⇒ 98/56 = b

Divide,

⇒ 1.75 cm = b

∴ Hence, breadth is 1.75 cm.

• Finding the perimeter.

Using the formula,

⇒ Perimeter = 2(l + b)

Substitute the values,

⇒ Perimeter = 2(56 + 1.75)

Solve the brackets,

⇒ Perimeter = 2 × 57.75

Multipy,

⇒ Perimeter = 115.5 cm

∴ Hence, perimeter is 115.5 cm.

Answer 2

Solution :

Given :

area of a rectangle = 98cm²

length = 56mm

Explanation :

Area = l × b

= 98 = 56 × b

= 98 = 56b

= b = 98/56

= b = 1.75 mm

Now,

Perimeter = 2(l+b)

= Perimeter = 2(56 + 1.75)

= Perimeter = 2(57.75)

= Perimeter = 115.5mm