The length of a rectangular park is 7m more than the breadth of its perimeter is 78m. Then the legth is (in mts)
Answers
Answer :-
The length of a rectangular park is 7 m more than it's breadth and it's perimeter is 78 m. Find the length of the rectangular parks in metres.
= Given :
- Length of park = 7 metres more than it's breadth.
- Perimeter of the park = 78 m.
To find :
- Length of the park.
Solution :
Let the breadth of the park be - 'x'
Then, the length of the park will be - '(x + 7)'
We know that,
Perimeter of rectangle = 2(length + breadth)
=> 2{(x + 7) + x} = 78
=> 2 {x + 7 + x} = 78
=> 2 {2x + 7} = 78
=> 4x + 14 = 78
=> 4x = 78 - 14
=> 4x = 64
=> x = 64/4
.°. x = 16
Therefore, breadth of the park = 16 m.
& the length of the park = (x + 7) m
= (16 + 7) m
= 23 m.
Hence, the length of the rectangular park is 23 m respectively.
Additional information :-
- Area of rectangle = (length × breadth) sq. unit
- Diagonal of rectangle = √l² + b² unit
- Perimeter of square = 4 × side unit
- Area of square = (side)² sq.unit
- Diagonal of square = √2 × side unit
Answer:
Answer :-
The length of a rectangular park is 7 m more than it's breadth and it's perimeter is 78 m. Find the length of the rectangular parks in metres.
= Given :
Length of park = 7 metres more than it's breadth.
Perimeter of the park = 78 m.
To find :
Length of the park.
Solution :
Let the breadth of the park be - 'x'
Then, the length of the park will be - '(x + 7)'
We know that,
Perimeter of rectangle = 2(length + breadth)
=> 2{(x + 7) + x} = 78
=> 2 {x + 7 + x} = 78
=> 2 {2x + 7} = 78
=> 4x + 14 = 78
=> 4x = 78 - 14
=> 4x = 64
=> x = 64/4
.°. x = 16
Therefore, breadth of the park = 16 m.
& the length of the park = (x + 7) m
= (16 + 7) m
= 23 m.
Hence, the length of the rectangular park is 23 m respectively.
Additional information :-
Area of rectangle = (length × breadth) sq. unit
Diagonal of rectangle = √l² + b² unit
Perimeter of square = 4 × side unit
Area of square = (side)² sq.unit
Diagonal of square = √2 × side unit