Question

the area of a Square Garden is 2025 m square. Inside the garden, a path of uniform width runs all around, if area of path is 581m square, find the area of inner square and width of the path

Answer 1

the required answer is this

Answer 2

The area of inner square and width of the path are 1444 sq.m. and 7 m respectively.

Step-by-step explanation:

Area of square = Side^2

We are given that the area of a Square Garden is 2025 m square.

So,$Side^2 = 2025$

$Side = \sqrt{2025}$

Side = 45 m

Inside the garden, a path of uniform width runs all around,

Let the width of path be x

So, inner side = 45-x

Area of path = Outer area - Inner area

Area of path is 581 m square

So, $581=(45)^2 - (45-x)^2$

$581 = 90x-x^2$

x=7,83

So, width = 7 m

Inner side = 45-x=45-7=38 m

Area of inner square = $Side^2 = 38^2 = 1444 m^2$

Hence the area of inner square and width of the path are 1444 sq.m. and 7 m respectively.

#Learn more:

A uniform path of width of 4m runs around a square of side 11m. Find the area of the path and the outer and inner perimeter of the path

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