Area of Path and Verandah


 
 
Concept Explanation
 

Area of Path and Verandah

Area of Path & Verandah: 

 It is observed that in square or rectangular gardens or parks. Some space in the form of path is left inside or outside or in between as cross paths.

Illustration: A footpath of uniform width 5 m runs round the inside of a rectangular park 38 m long and 32 m wide. Find the area of the path.

Solution: Let ABCD be the rectangular park and PQRS be the internal boundaries of the path.

We have, Length AB= 38 m and Breadth BC= 32 m:

Thus, Area of rectangle ABCD = AB large times BC = 38 m large times 32 m = 1216 large ^{m^{2}}

Now, Length PQ  = 38 m - 5 m - 5 m = 28 m and Breadth QR = 32 m - 5 m - 5 m = 22m

Area of rectangle PQRS = PQ large times RS = 28 m large times 22 m = 616 large ^{m^{2}}

Area of footpath = Area of rectangle ABCD - Area of rectangle PQRS = 1216 - 616=600 large ^{m^{2}}

Thus, Area of footpath =600 large ^{m^{2}}

The area of the crossroads = Area of the two colored rectangles - Area of the red colored rectangle at the centre.

We are subtracting the area of the rectangle because we are taking it into consideration two times.

.... (More Text Available, Login?)
Sample Questions
(More Questions for each concept available in Login)
Question : 1

A garden is 90 m long and 75 m board. A path 5 m wide is to be built outside all around it along its border. Find the area of the path?

Right Option : B
View Explanation
Explanation
Question : 2

A floor is 15 m long and 9 m wide. A square carpet of side 5 m is laid on the floor. Find the area of the floor not carpeted ?

Right Option : D
View Explanation
Explanation
Question : 3

A square plot has side 100 m. A path 5 m wide runs breadth wise across the ground in the middle. Find the area of the path.

Right Option : A
View Explanation
Explanation
 
Video Link - Have a look !!!
 
Language - English
 
 
 
 
Related Videos
Language - English
Language - English
Language - English

Language - English
Language - English


Students / Parents Reviews [20]