Question

Q4. The area of a rectangle is 98 cm' and its
length is 56 mm. Find its breadth and
perimeter​

Answer 1

Step-by-step explanation:

ANSWER:-

Given that:-

• The area of the rectangle is 98 cm
• The length is 56 cm

To find:-

The Breadth as well as the perimeter

Let's Do!

We need to know that

$\sf{Perimeter \ of \ Rectangle = 2( Length + Breadth)}$

$\sf{Area \ of \ Rectangle = Length \times Breadth}$

Now, we are given the area, from which we can find out the breadth.

$\sf{98 = 5.6 \times Breadth}$  (Unit Convertion)

$\sf{\dfrac{98}{5.6} = Breadth}$

Breadth = 17.5 cm

Now, finding the perimeter,

$\sf{Perimeter \ of \ Rectangle = 2( 17.5 + 5.6)}$

$\sf{Perimeter \ of \ Rectangle = 2 \times 23.1}$

$\sf{Perimeter \ of \ Rectangle = 46.2 cm}$

Or, if you find that the units were same in the question, simply remove the decimal point. Otherwise,  it is the required answer.

Answer 2

Answer:

Given :-

• The area of a rectangle is 98 cm and it's length is 56 mm.

To Find :-

• What is the breadth and perimeter of a rectangle.

Formula Used :-

${\red{\boxed{\bold{\small{Area\: of\: Rectangle =\: Length \times Breadth}}}}}$

${\red{\boxed{\bold{\small{Perimeter\: of\: Rectangle =\: 2(Length + Breadth)}}}}}$

Solution :-

First, we have to convert mm to cm,

As we know that,

✧ 1 mm = 1/10 ✧

Then

↦ $\sf Length =\: \dfrac{56}{10}$

➦ $\sf\bold{\green{Length =\: 5.6\: cm}}$

Hence, the length of a rectangle is 5.6 cm.

Let, the breadth of a rectangle be x

Given :

• Area = 98 cm
• Length = 5.6 cm

According to the question by using the formula we get,

⇒ $\sf 5.6 \times x =\: 98$

⇒ $\sf x =\: \dfrac{98 \times 10}{56}$

⇒ $\sf x =\: \dfrac{\cancel{980}}{\cancel{56}}$

➠ $\sf\bold{\pink{x =\: 17.5\: cm}}$

$\therefore$ The breadth of a rectangle is 17.5 cm .

Now, we have to find the perimeter of a rectangle,

Given :

• Length = 5.6 cm
• Breadth = 17.5 cm

According to the question by using the formula we get,

↛ $\sf Perimeter\: of\: rectangle =\: 2(5.6 + 17.5)$

↛ $\sf Perimeter\: of\: rectangle =\: 2(23.1)$

↛ $\sf Perimeter\: of\: rectangle =\: 2 \times 23.1$

➠ $\sf\bold{\purple{Perimeter\: of\: rectangle =\: 46.2\: cm}}$

$\therefore$ The perimeter of a rectangle is 46.2 cm .