Question

The length of a rectangular sheet paper is 3 1/2cm and its area is 5 2/7cm. Find its length.​

Answer 1

Step-by-step explanation:

Given that :-

• The length of the rectangular sheet is $\sf{3 \dfrac{1}{2}}$ cm.

• The area of the rectangle is $\sf{5 \dfrac{2}{7}}$

We need to find it's other length (In short, the breadth)

Because you won't like to re-find the information already given, so a small correction.

Now, what we're going to do is apply the formula of course!

And the formula designated to this question is:-

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

Well, we're already given the values, we will just replace it off :-

$\sf{ 5 \dfrac{2}{7} = 3 \dfrac{1}{2} \times Breadth}$

Convert it into improper fractions:-

$\sf{ \dfrac{37}{7} = \dfrac{7}{2} \times Breadth}$

$\sf{ \dfrac{37 \times 2}{7 \times 7} = Breadth}$

$\sf{ \dfrac{74}{49} = Breadth}$

$\sf{ 1 \dfrac{25}{49} = Breadth}$ is the required answer.

Answer 2

Correct question:-

The length of a rectangular sheet paper is 3 1/2cm and its area is 5 2/7cm. Find its breadth.

Given:-

• length of the rectangular sheet = 3½ = 7/2
• Area of the sheet = $5 \frac{2}{7}$ = 37/7

To find:-

• Breadth of the rectangular sheet

Solution:-

Area of the sheet = 37/7

l × b = 37/7

b = $\frac{37}{ 7 \frac{7}{2} }$

b =$\frac{37 \times 2}{7×7}$

b = $\frac{74}{49}$

b = $1 \frac{25}{49}$

• Thus, the breadth of the rectangular sheet is $1 \frac{25}{49}$