Question

The ratio of ghe length of a school ground to its width is 5:3. find its length if the width of the ground is 45 metres​

Answer 1

Given :

• Length to its width = 5 : 3
• width = 45 m

To find :

• Length of the School Ground

According to the question :

Let the length be ' x meters '

Then, the ratio of Length to width will be = x : 45

✯ But Ratio given = 5 : 3

Equation will be :

⟹ x : 45 = 5 : 3

⟹ x / 45 = 5 / 3

Solving Equation :

✯ Using - Product of Extreme = Product of Mean / Cross Multiplying

⟹ x × 3 = 45 × 5

⟹ 3x = 225

⟹ x = 225 / 3

⟹ x = 75

∴ Length of the School Ground = 75 meters

So, It's Done !!

Answer 2

${ \bf{ \underline{ \red{ \underline{ \red{Question}}}} : - }}$

The ratio of the length of a school ground to its width is 5:3. find its length if the width of the ground is 45 metres ?

${ \bf{ \underline{ \red{ \underline{ \red{Given}}}} : - }}$

• The ratio of the length of a school ground to its width is 5:3
• the width of the ground is 45 metres

${ \bf{ \underline{ \red{ \underline{ \red{Solution}}}} : - }}$

The ratio of the length of a school ground to width of the school ground is 5:3

Now, to find length of school ground when the width of the school ground is 45 m.

Let, x be the length of school

ground and y be the width of

school ground.

Let y = 45 m ..... Now,

{we use proportionality theorem }

${ \bf{ \huge{ \red{\dashrightarrow{ \purple{ \frac{x}{y} = \frac{5}{3} }}}}}}$

${ \bf{ \huge{ \red{\dashrightarrow{ \purple{ \frac{x}{45} = \frac{5}{3} }}}}}}$

${ \bf{ \huge{ \red{\dashrightarrow{ \purple{x = \frac{5 \times 45}{3} }}}}}}$

${ \bf{ \huge{ \red{\dashrightarrow{ \purple{x = \frac{225}{3} }}}}}}$

${ \bf{ \huge{ \red{\dashrightarrow{ \purple{x = 75 \: m }}}}}}$

Hence length of school ground is 75 m.

i hope it helps you.