Question

The ratio of the length and breadth and the breadth of a park is5:4 if the breadth of a park be 180m, Find it length

Answer 1

Answer:

Area = 225×180

A=40500m²

Answer 2

Appropriate Question -:

The ratio of the length and breadth of a rectangular park is 5 : 4. If the perimeter of a park be 180 m. Find the length.

Explanation -:

In this question we are provided with the ratio of length and breadth 5 : 4 and it is also given that the perimeter of the rectangular park is 180 m and we are asked to calculate the length of the rectangular park.

$\small \underline{ \underline{\sf{ First \: make \: an \: equation }}}$

Let us assume length as 5x and breadth as 4x

We know,

$\small✭\: \small \boxed{{\sf Perimeter_{(rectangle)} = 2( l + b)}}$

Where

• l stand for Length
• b stand for Breadth

Substituting the values we get

$\small\bf{ 180 = 2(5x + 4x)}$

$➩ \: \small\rm{ 180 = 2(9x)}$

$➩ \: \small\rm{180 = 18x}$

$➩ \: \small\rm{x = \cancel\dfrac{180}{18} = 10}$

$\star \: \small\boxed{ \rm{x = 10}}$

$\small{ \underline{ \underline{\sf Now \: we \: will \: calculate \: the \: length \: and \: breadth}}}$

Length = 5x = 5 × 10 = 50m

Breadth = 4x = 4 × 10 = 40m

Final Answer

• Hence, Length of the rectangular park is 50 m.

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