Question

Question 9 is the question

Answer 1

$\fbox{\sf\pink{Area \:of\: rectangle = length \times breadth}}$

Here the values of area and breadth are given :

$\longrightarrow{\sf{Area ---- {118}\times \frac{4}{5}}}$

$\longrightarrow{\sf{Breadth----{6}\times \frac{3}{5}}}$

So ,

Area = (length × breadth)

Length = Area ÷ Breadth

${\sf{\frac{594}{5} = (length) \times \frac{33}{5}}}$

After transposing all the terms to one side we get :

$\longrightarrow{\sf{ \frac{594}{5} \div \frac{33}{5} = length}}$

We know that when there is a division between fractions one of the fractions gets reciprocal and sign changes to multiplication

$\longrightarrow{\sf{ \frac{594}{5} \times \frac{5}{33}}}$

When the equation is simplified we get :

$\implies{\sf{\frac {18}{1} or 18}}$

So , length = 18 sq m.

Answer 2

Given:

→ The area of rectangle = 118 4/5 m² = 594/5 m²

→ Breadth of the rectangle = 6 3/5 m² = 33/5 m²

To find:

The length of the rectangle.

Solution:

Area of a rectangle = lb

594/5 = L * 33/5

594/5 / 33/5 = L

594/5 * 5/33 = L

18/1 = L

L = 18m²

Conclusion:

Therefore, L = 18m²

Verification:

Area of a rectangle = lb

594/5 = 18 * 33/5

594/5 = 594/5

LHS = RHS

Hence, verified.

Extra Information:

Area of a rectangle = Length * Breadth

Perimeter of a rectangle = 2 ( Length * Breadth )