If the length and width of a rectangular grand are each increased by 20% then what would be the percent increase in the area of the garden?

A. 20%
B. 24%
C. 36%
D. 44%

Let length = x metres and breadth = y metres , then area =(xy)m²

New length = 120/100x (6x/5)m

New breadth = 120/100 y = 6y/5m

New area (6x/5 x 6y/5)m² = (36/25 xy)m²

Increase in area = (36/25xy – xy)m² = (11/25 xy)m²

Increase % = (11/25 xy x 1/xy x 100)% = 44%

Related Mcqs:

A gardener increases the area of his rectangular garden by increasing its length by 40% and decreasing by 20%. The area of the new garden?
A. Has increase by 20%
B. Has increase by 12%
C. Has increase b 8%
D. Is exactly the same as the old area
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
A. 8.5 m
B. 17 m
C. 34 m
D. 51 m
The length of a rectangular plot is twice its breadth. If the area of the rectangular plot is 6075 sq.meters .what is its length?
A. 45m
B. 75m
C. 135m
D. None of these
The length of a rectangular plot is increased by 25%. To keep it’s area uncharged the width of the plot should be___________?
A. Kept unchanged
B. Increased by 25%
C. Increased by 20%
D. Reduced by 20%
The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
A. 31 m
B. 32 m
C. 16 m
D. 20 m
If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is________?
A. 650 m
B. 600 m
C. 200 m
D. 300 m
The length of a rectangle is increased by 60 %. By what percent would the width have to be decreased to maintain the same area?
A. 37 ½ %
B. 60 %
C. 75 %
D. 120%
A path of uniform width turns the inside of a rectangular field 38m long and 32m wide. IF the path occupies 600 m² than the width of the path is_______?
A. 3m
B. 5m
C. 8.75m
D. 10m
The length of a rectangle is increased by 60 %. By what percent would the width have to be decreased to maintain the same area?
A. 37 ½ %
B. 60 %
C. 75 %
D. none of these
A rectangular measure 8cm on length and it’s diagonals measures 10cm what is the perimeter of the rectangular?
A. 36cm
B. 38cm
C. 28cm
D. 18cm