Question

The length and width of a rectangular field are in the ratio 5 : 3. If the width of the field is 45 m, what is its length?

Answer 1

Answer:

Given :-

• The length and width of a rectangular field are in the ratio of 5 : 3.
• The width of the field is 45 m.

To Find :-

• What is the length.

Solution :-

Let,

$\mapsto \rm{\bold{Length =\: 5x}}$

$\mapsto \rm{\bold{Width =\: 3x}}$

Given :

• Width of the field = 45 m

According to the question,

$\implies \sf 3x =\: 45$

$\implies \sf x =\: \dfrac{\cancel{45}}{\cancel{3}}$

$\implies \sf x =\: \dfrac{15}{1}$

$\implies \sf\bold{\purple{x =\: 15\: m}}$

Hence, the required length and width are :

$\bigstar\: \sf\bold{\green{Length\: of\: rectangular\: field :-}}$

$\longrightarrow \sf 5x\: m$

$\longrightarrow \sf 5(15)\: m$

$\longrightarrow \sf\bold{\red{75\: m}}$

$\bigstar\: \sf\bold{\green{Width\: of\: rectangular\: field\: :-}}$

$\longrightarrow \sf 3x\: m$

$\longrightarrow \sf 3(15)\: m$

$\longrightarrow \sf\bold{\red{45\: m}}$

$\therefore$ The length of a rectangular field is 75 m .

VERIFICATION :-

$\leadsto \tt{3x =\: 45}$

By putting x = 15 we get,

$\leadsto \tt{3(15) =\: 45}$

$\leadsto \tt{\bold{\pink{45 =\: 45}}}$

Hence, Verified.

Answer 2

Solution -

• The length and the width of a rectangular field are in the ratio of 5:3.

• The width of the field is given to be 45m

We have to find the length of the field.

The length and the width of a rectangular field are in the ratio of 5:3. Let us assume that the length and width are 5x and 3x respectively where x is a variable , x € N

The width is 3x , but it is mentioned to be 45m .

So

3x = 45

> x = 15

5x = 15 × 5 = 75m .

Answer : The length of the given rectangular field is 75m.

_____________________________________