10. The length of a rectangular field is 10m more than its breadth. If the
perimeter is 80m, find its length and breadth.

length = 15

breadth = 25

Step-by-step explanation:

length = breadth + 10

let length be x

length = x

breadth = x + 10

perimeter = 2(length) + 2(breadth)

80 = 2(x) + 2(x + 10)

80 = 2x + 2x + 20

80 = 4x + 20

80 - 20 = 4x

60 = 4x

15 = x

length = x = 15

breadth = x + 10 = 25

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3