Question

5. The perimeter of a rectangular park is 450 m.
The lengths of the sides are in the ratio 3:2
Fd the area of the rectangle.​

Answer 1

Answer:

Perimeter of park = 450 m

Ratio of lengths = 3:2

Length = 3x, Breadth = 2x

Therefore 2(l+b) = 450 m

            2(3x+2x) = 450 m

                  2 * 5x = 450

                         5x = 450/2

                             x = 225/5

                              x = 45

So, Length = 3*45 = 135 m

     Breadth = 2*45 = 90 m

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Answer 2

Answer :-

• The area of the rectangular park is 12150m².

Step-by-step explanation:

To Find :-

• The area of the rectangular park

Solution:

Given that,

• The perimeter of the park = 450m.
• The lengths of the side of the park are in the ratio of = 3:2

Assumption: Let us assume the ratio of lengths of the rectangular park as :-

• Length = 3x
• Breadth = 2x

∴ The measure of length and breadth is :-

As we know that,

Perimeter of rectangle = 2(l+b),

Where,

• l = Length
• b = Breadth

Therefore,

=> 2 ( length + breadth ) = Perimeter

=> 2 ( 3x + 2x ) = 450

=> 3x + 2x = 450/2

=> 3x + 2x = 225

=> 5x = 225

=> x = 225/5

=> x = 45

The value of x is 45. Now, The length and breadth is :-

• Length

[We assumed the length of the park as 3x]

=> 3x

=> 3*45

=> 135m

• Breadth

[We assumed the breadth of the park as 2x]

=> 2x

=> 2*45

=> 90m

So, Length = 135m and Breadth = 90m,

∴ The area of the rectangular park :-

As we know that,

Area of rectangle = Length × breadth,

=> 135m × 90m

=> ( 135 × 90 )m²

=> 12150m²

Hence, The area of the park is 12150m².