Question

A park, square in shape has a 3 metre wide road inside it running along it's sides. The area occupied by the road is 1764 square meter. What is the perimeter of the outer edge of the road?
Question 8th

Answer 1

Answer:

answer is 600m.

hope this helps you......

Answer 2

Answer:

The perimeter of the outer edge of the road is 600 m

Step-by-step explanation:

Let the side of the square park be x

We are given that A park, square in shape has a 3 metre wide road inside it

So, Inner length = x-(3+3)=x-6

Inner area = $Side^2 = (x-6)^2$

Outer area = $x^2$

Area of road = Outer area - inner area

                   = $x^2-(x-6)^2$

Since we are given that The area occupied by the road is 1764 square meter.

So,  $x^2-(x-6)^2=1764$

$x^2-x^2-36+12x=1764$

$-36+12x=1764$

$x=150$

Outer edge = 150 m

So Perimeter of outer edge of road = $4 \times Side = 4 \times 150 = 600 m$

Hence the perimeter of the outer edge of the road is 600 m