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

Answer:

smaller side= 25m

larger side= 48m

Step-by-step explanation:

let the smaller side be x m.

let the larger side be y m.

given,

y=6x-102

perimeter, P= 146m

to find: x, y

perimeter of a parallelogram, P= 2(x+y)

therefore, 146= 2(x+y)

therefore, 146= 2(x+ (6x-102))

therefore, 146= 2(x+6x-102)

therefore, 146/2 = (7x-102)

therefore, 73= 7x-102

therefore, 7x = 102+73

therefore, 7x= 175

therefore, x= 175/7

therefore, x= 25m

we know, y=6x-102

therefore, y= 6(25)-102

therefore, y= 150-102

therefore, y=48m