Question

the area of a rectangle is 108M² square if its length is 12M the ration of its breadth to its length is​

Answer 1

• Ratio of breadth to It's length is 3:4.

Step-by-step explanation:

Correct question :-

• The area of the rectangle is 108 m².If it's Length is 12 m. The ratio of it's Breadth to its Length is.

Solution:-

Given that,

Area of rectangle is 108 m².

Length of rectangle is 12 m.

• For ratio first we need to find Breadth of rectangle. So,

Let, Breadth of rectangle be x.

Diagram :-

$\setlength{\unitlength}{0.25cm}\begin{picture}\thicklines\multiput(0,0)(24,0){2}{\line(0,1){7}}\multiput(0,0)(0,7){2}{\line(1,0){24}}\put(10,-2){\sf{12\ m}}\put(25,3){\sf{x m}}\end{picture}$

Now,

$\boxed{\sf \bold{Area \: of \: rectangle = Length \times Breadth}}$

Put Length, Breadth and Area of rectangle in formula :

$\sf \longrightarrow 108 = 12 \times x$

$\sf \longrightarrow \dfrac{108}{12} = x$

$\sf \longrightarrow \purple{ \boxed{ \sf x = 9} \star}$

We have taken,Breadth be x. So,

Breadth of rectangle is 9 m.

Ratio :

$\sf \longrightarrow \dfrac{9}{12}$

$\sf \longrightarrow \dfrac{3}{4} \bigstar$

Therefore,

Ratio of breadth to It's length is 3:4.

_______________________________

More about rectangle ★

• Rectangle is a closed two dimensional figure.

• It's opposite sides are equal and parallel.

• All angles of rectangle are of 90°

• Rectangle is a quadrilateral.

• Perimeter of rectangle is 2 times it's sum of length and breadth.

Answer 2

Answer:

Correct Question :-

• The area of a rectangle is 108 m². If its length is 12 m. What is the ratio of its breadth to its length.

Given :-

• The area of a rectangle is 108 m².
• Length is 12 m.

To Find :-

• What is the ratio of its breadth to its length.

Formula Used :-

$\boxed{\bold{\large{Area\: =\: Length\: \times Breadth}}}$

Solution :-

Let, the breadth be x

And, the breadth is 12 m

Area of a rectangle is 108 m²

According to the question by using the formula we get,

⇒ 108 = 12 × x

⇒ 108 = 12x

⇒ - 12x = - 108

⇒ x = $\sf\dfrac{\cancel{- 108}}{\cancel{- 12}}$

➠ x = 9 m

Hence, the required breadth is = x = 9 m and length = 12 m

Now, we have to find the ratio of its breadth to its length will be,

↦ 9 : 12

↦ $\dfrac{9}{12}$

↦ $\sf\dfrac{\cancel{9}}{\cancel{12}}$

➥ $\dfrac{3}{4}$

Hence, their ratio is 3 : 4.

$\therefore$ The ratio of its breadth to its length is 3 : 4 .