Maths-

General

Easy

Question

# What is the area of a uniform path of width 2m along the outside of a square plot of land of length 20 m?

Hint:

### Area of a square = side2

## The correct answer is: ∴ Area of the given uniform path is 176 m2.

### Step-by-step solution:-

As per given information-

Side of the inner square plot = 20 m

Area of the inner plot = Side^{2}

∴ Area of the inner plot = 20^{2}

∴ Area of the inner plot = 400 m^{2} ............................................ (Equation i)

Looking at the adjacent figure,

For the outer square-

Side = Side of the inner plot + 2 (width of the path)

∴ Side = 20 + 2 (2)

∴ Side = 20 + 4

∴ Side = 24 ............................................................................. (Equation ii)

Area of the outer square = side^{2}

∴ Area of the outer square = 24^{2} ............................................. (From Equation ii)

∴ Area of the outer square = 576 m^{2} ....................................... (Equation iii)

Area of the path = Area of the outer square - Area of the inner plot

∴ Area of the path = 576 - 400

∴ Area of the path = 176 m^{2}

### Related Questions to study

Maths-

### A triangle has an area of 7.65 square feet. What is the area of the triangle in square inches?

### A triangle has an area of 7.65 square feet. What is the area of the triangle in square inches?

Maths-General

Maths-

### A rectangular floor of a room is 18 m long 12 m wide.Find the cost of covering the floor with carpet 6 m wide at Rs 40 per metre.

### A rectangular floor of a room is 18 m long 12 m wide.Find the cost of covering the floor with carpet 6 m wide at Rs 40 per metre.

Maths-General

Maths-

### The diagonal of a square is 4 √2 cm. Find the length of another diagonals if the diagonal of another square whose area is double that of the first square.

### The diagonal of a square is 4 √2 cm. Find the length of another diagonals if the diagonal of another square whose area is double that of the first square.

Maths-General

Maths-

### 1 square foot ≅ _____ square yard

### 1 square foot ≅ _____ square yard

Maths-General

Maths-

### What kind of geometric intersection does the given image represent?

### What kind of geometric intersection does the given image represent?

Maths-General

Maths-

### 285 cm^{2} = ___ m^{2}

### 285 cm^{2} = ___ m^{2}

Maths-General

Maths-

### Why does a 3-legged stand have more stability than a 4-legged stand on an even surface?

### Why does a 3-legged stand have more stability than a 4-legged stand on an even surface?

Maths-General

Maths-

### What kind of geometric intersections does the given image represent?

### What kind of geometric intersections does the given image represent?

Maths-General

Maths-

### Find the perimeter of the triangle ABC.

### Find the perimeter of the triangle ABC.

Maths-General

Maths-

### The graph of inequality −5 ≤ x ≤ 5 plotted on a number line represents a ____.

### The graph of inequality −5 ≤ x ≤ 5 plotted on a number line represents a ____.

Maths-General

Maths-

### Find the area of the given triangle ABC

### Find the area of the given triangle ABC

Maths-General

Maths-

### The perimeters of two squares are 68 cm and 60 cm.Find the perimeter of the third square whose area is equal to the difference of the area of these two squares .

### The perimeters of two squares are 68 cm and 60 cm.Find the perimeter of the third square whose area is equal to the difference of the area of these two squares .

Maths-General

Maths-

### Find the area (in square units) of the given rectangle.

### Find the area (in square units) of the given rectangle.

Maths-General

Maths-