Question

he length and breadth of a rectangular park are in the ratio 7:3. If the area of the
park is 525 cm. Then find the dimensions of park and find the cost of fencing it at
Rs.75 per meter.​

Answer 1

QUESTION:

The length and breadth of a rectangular park are in the ratio 7:3. If the area of the

he length and breadth of a rectangular park are in the ratio 7:3. If the area of thepark is 525 sq.cm. Then find the dimensions of park and find the cost of fencing it at

Rs.75 per metre.

Answer:

length of the rectangular Park = 35 cm

breadth of the rectangular Park = 15 cm

cost of fencing the rectangular Park (100 cm)

= RS. 750000

Step-by-step explanation:

ratio of the length and breath of the rectangular Park

=7:3

length of the rectangular Park

$= 7x$

breadth of the rectangular Park

$= 3x$

area of the rectangular Park

$= l \: \times b \\ = 7x \times 3x \\ = 21 {x}^{2} = 525 \: {cm}^{2}$

so, the value of x

$= > 21 {x}^{2} = 525 \: {cm}^{2} \\ = > {x}^{2} = \frac{525 \: {cm}^{2} }{21} \\ = > {x}^{2} = 25 \: {cm}^{2} \\ = > x = \sqrt{25 \: {cm}^{2} } \\ = > x = \: 5 \: cm$

so, the real length of rectangular Park

$= 7x \\ = 7 \times 5 \: cm \\ = 35 \: cm$

so, the real breadth of the rectangular Park

$= 3x \\ = 3 \times 5 \: cm \\ = 15 \: cm$

and the perimeter of rectangular Park

$= 2 \times (l + b) \\ = 2 \times (35 \: cm + 15 \: cm) \\ = 2 \times 50 \: cm \\ = 100 \: cm$

cost of fencing 1 metre of the rectangular Park

= Rs.75

so, the cost of fencing 1 centimetre of the rectangular Park

= Rs.75 × 100

= Rs.7500

hence, cost of fencing the whole Park (100 cm)

= Rs.7500 × 100

= Rs.750000