Question

a park has a parallelogram shape. The longer side of this park is 102m less than 6 times its smaller side. the perimeter of the park is 146m. find the length of both the sides

Answer 1

48 m and 25 m

Step-by-step explanation:

Let longer side = x m and shorter side = y m

x = 6y - 102

Perimeter = x + x + y + y

146 = 2 ( x + y )

73 = x + y

73 = 6y - 102 + y

7y = 175

y = (175/7) = 25 m

x = 6 (25) - 102 = 48 m

Answer 2

Answer:

25 and 48

Step-by-step explanation:

Smaller side = x

Longer side = 6x - 102

Perimeter = 146 m

P = 2( l+b)

146 = 2( 6x - 102 + x)

7x - 102 = 146/2

7x - 102 = 73

7x = 73 + 102

7x = 175

x = 175/7

x = 25

Smaller side = 25

Longer side = 25 x 6 - 102

= 150 - 102

= 48