Question

The length and the breadth of a rectangular park are in the ratio 5 : 3 and its perimeter is 128 m. Find the area of the park.​

Answer 1

Answer:

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Given:

The ratio of length (l) and breadth (b) of a rectangular is = (l:b) = 5:3

The perimeter of the rectangle is 128 m

To find:

The area of the rectangular park

Now,

Let the length (l) be = 5x m

And breadth (b) be = 3x m

So,

The formula to find the perimeter of the rectangle is

= 2 (l + b) units

So,

→ 128 = 2 (5x + 3x)

→ 128 = 2 (8x)

→ 128 = 16x

→ 128 ÷ 16 = x

[By transporting 16 to RHS]

→ 8 = x

Now the value of length (l) = 5x = 5*8 = 40 m

And the value of breadth (b) = 3x = 3*8 = 24 m

The formula to find the area of a rectangle is

= length*breadth unit sq.

Area of the rectangular park = 40*24

Area of the rectangular park = 960 m sq.

Hence,

The area of the rectangular park is 960 m sq.

Step-by-step explanation:

Hope It Helps.

Answer 2

Answer:

✰given:

The length and the breadth of a rectangular park are in the ratio 5 : 3 and its perimeter is 128 m. Find the area of the park.

✰to find:

area of the park.

❀ʀᴇǫᴜɪʀᴇᴅ ᴀɴsᴡᴇʀ:

The ratio of length (l) and breadth (b) of a rectangular is = (l:b) = 5:3

The perimeter of the rectangle is 128 m

To find:

The area of the rectangular park

Now,

Let the length (l) be = 5x m

And breadth (b) be = 3x m

So,

The formula to find the perimeter of the rectangle is

= 2 (l + b) units

So,

↦ 128 = 2 (5x + 3x)

↦ 128 = 2 (8x)

↦ 128 = 16x

↦ 128 ÷ 16 = x

↦ 8 = x

Now the value of length (l) = 5x = 5*8 = 40 m

And the value of breadth (b) = 3x = 3*8 = 24 m

The formula to find the area of a rectangle is

= length*breadth unit sq.

Area of the rectangular park = 40*24

Area of the rectangular park = 960 m sq.

Hence,

The area of the rectangular park is 960 m sq.

$\sf\blue{hope \: this \: helps \: you!! \: }$