Question

the ratio of length and breath of a playground I'd 4.5:3. if the breadth of playground is 84m,then find the length of playground​

Answer 1

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Given:

• Ratio of length and breadth of playground is 4.5 : 3
• Breadth of playground is 84 metre

To find:

Length of playground = ?

Solution:

Let length of playground = 4.5x

Breadth of playground = 3x

Breadth of playground = 84 m ----(given)

3x = 84

$\\ \\ x = \dfrac{84}{3} \\ \\ x = 28$

Substituting value of x in length

Length = 4.5x

Length = 4.5 × 28

Length = 126 m

Answer:

Thus, length of playground is 126 metre

Verification:

If on substitution of value x in breadth, we get 84 metre then our answer is correct

Breadth = 3x

Breadth = 3 × 28

Breadth = 84 metre

Hence, proved

Basic point:

• Questions of ratios should be substituted by variable like x, y, a.. etc accordingly to solve it easily
• Area of playground if rectangle = length × breadth
• Try to solve more such questions to get good hold on it