Question

The sides of a rectangular plot are in the ratio 5 : 4 and its area is equal to 500 m2 . The perimeter of the plot is (A) 80 m (B) 100 m (C) 90 m (D) 95 m

Answer 1

✿ AnSwer :

• Perimeter of the plot is 90 m.

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✒ GiVen :

• Ratio of sides = 5 : 4
• Area of the rectanglular plot = 500 cm²

✒ To Find :

• Perimeter of the rectangular plot =?

✒ SoluTion :

• Let us assume length and breadth of the rectangle plot be 5x and 4x, respectively.

According to the question,

$\implies$ Area of rectangular plot = 500 m²

$\implies$ 5x × 4x = 500

$\implies$ 20x² = 500

$\implies$ x² = 500/20

$\implies$ x² = 25

$\implies$ x = 5

Now, as per our assumption,

$\implies$ Length = 5x

$\implies$ Length = 5 × 5

$\implies$ Length = 25 m.

Also,

$\implies$ Breadth = 4x

$\implies$ Breadth = 4 × 5

$\implies$ Breadth = 20 m.

Now,

⛄ Perimeter of the rectanglular plot :

$\implies$ 2( length + breadth)

$\implies$ 2( 25 + 20 )

$\implies$ 2 × 45

$\implies$ 90 m

★ Therefore, perimeter of the rectangular plot is 90 m. ★

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Answer 2

Let the length of rectangular plot = 5x

and breath of rectangular plot = 4x

area of rectangular plot = 500

$= l \times b = 500 \\ = 5x \times 4x = 500 \\ = 20 {x}^{2} = 500 \\ {x}^{2} = \frac{500}{20 } \\ {x}^{2} = 25 \\ {x}^{2} = {5}^{2} \\ x = 5$

Length = 5 × 5 = 25m

Breadth = 4 × 5 = 20m

Perimeter of rectangular plot = 2(L+B)

= 2(25+20)

= 2 × 45

= 90cm