The perimeter of a pool table is about 7.8m. four times the length equals nine times the width. What are the dimensions of the table in meters

Solution:

Let "x" be the length of table

Let "y" be the width of table

four times the length equals nine times the width

Therefore,

4x = 9y

The perimeter of a pool table is about 7.8m

Perimeter = 7.8 meter

2(length + width) = 7.8

Therefore,

Thus length of table is 2.7 meter and width of table is 1.2 meter

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

just needed some points but try socratic