the length and the breadth of a rectangular park are in the ratio 5:3 and its perimeter is 128m. find the area of the park.
Answers
Answered by
7
suppose the length and breadth of a rectangular park is 5x and 3x.
so by question
2(5x+3x)= 128
therefore. x=8
so, length= 40m and breadth= 24m
hence area= 40×24= 960 m^2
so by question
2(5x+3x)= 128
therefore. x=8
so, length= 40m and breadth= 24m
hence area= 40×24= 960 m^2
Answered by
5
Answer: 960 m²
Step-by-step explanation:
Let the length and breadth be 5x and 3x respectively (the ratio is 5:3)
Perimeter = 128 m
Perimeter of a rectangle = 2(l+b)
[Where l is length and b is breadth]
=>128 = 2(5x + 3x)
=>128 = 2(8x)
=>128 = 16x
=>128/16 = x
=>8 = x
Length = 5x = 5×8 = 40
Breadth = 3x = 3×8 = 24
Area = length × breadth
Area of the rectangle = 40×24 = 960 m²
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