A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, Then What is the width of the road? 

If you happen to be viewing the article A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, Then What is the width of the road? ? on the website Math Hello Kitty, there are a couple of convenient ways for you to navigate through the content. You have the option to simply scroll down and leisurely read each section at your own pace. Alternatively, if you’re in a rush or looking for specific information, you can swiftly click on the table of contents provided. This will instantly direct you to the exact section that contains the information you need most urgently.

Find out how wide the concrete paths are in a rectangular park that’s 60 meters long and 40 meters wide.

A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, Then What is the width of the road?

The width of the road is 3 meters.

Here’s how we can find it:

1. Calculate the total area of the park: Length x Width = 60m x 40m = 2400 sq. m

2. Subtract the area of the lawn from the total area to find the area covered by the crossroads: Total Area – Lawn Area = 2400 sq. m – 2109 sq. m = 291 sq. m

3. Let x be the width of the road. Since the crossroads form a square in the middle of the park, their total area is represented by x^2.

4. Set up the equation and solve for x: x^2 = 291 sq. m

5. Solve the equation for x:

   • There are two potential solutions: x = +97 and x = -3. However, the width of the road cannot be negative, so we ignore the negative solution.
   • x = +97 meters is not a logical answer as it implies the road is wider than the entire park.

Therefore, the only valid solution is x = 3 meters.

Geometry of Rectangles and Squares

Rectangles and squares are both quadrilaterals, which means they are polygons with four sides. However, they have some distinct differences:

1. Definition:

   • A rectangle is a quadrilateral with opposite sides equal in length and all angles equal to 90 degrees.
   • A square is a special type of rectangle where all four sides are equal in length and all angles are equal to 90 degrees.

2. Properties:

   • Rectangles have opposite sides of equal length but not necessarily all sides equal.
   • Squares have all sides equal in length, making them a special case of a rectangle.

3. Angles:

   • Both rectangles and squares have right angles (90-degree angles) at each corner.
   • In a square, all angles are 90 degrees.
   • In a rectangle, only opposite angles are equal.

4. Diagonals:

   • The diagonals of a rectangle are equal in length and bisect each other.
   • In a square, the diagonals are also equal in length and bisect each other at right angles.

5. Area and Perimeter:

   • The area of a rectangle is calculated as length multiplied by width.
   • The area of a square is calculated as side length squared.
   • The perimeter of a rectangle is calculated as the sum of all four sides.
   • The perimeter of a square is four times the length of one side.

6. Symmetry:

   • Both rectangles and squares have two lines of symmetry: one horizontal and one vertical.
   • In a square, these lines of symmetry coincide, resulting in four equal quadrants.

7. Applications:

   • Rectangles and squares are commonly encountered shapes in architecture, engineering, and design.
   • They are used in various geometric and trigonometric calculations.
   • Squares are often employed in tessellation and tiling patterns due to their regularity.

Understanding the distinctions between rectangles and squares is crucial, as they have different properties and applications despite sharing some similarities in their geometric nature.

Thank you so much for taking the time to read the article titled A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, Then What is the width of the road?  written by Math Hello Kitty. Your support means a lot to us! We are glad that you found this article useful. If you have any feedback or thoughts, we would love to hear from you. Don’t forget to leave a comment and review on our website to help introduce it to others. Once again, we sincerely appreciate your support and thank you for being a valued reader!

Source: Math Hello Kitty
Categories: Math