Question

The length of a rectangle is 2 km less than 3 times the width. If the perimeter is 68 km,What is the length of the rectangle

Answer 1

The length of the rectangle is 25 km

Explanation:

Let

x ----> the length of rectangle

y ----> the width of rectangle

we know that

The perimeter of rectangle is

`P=2(x+y)`

we have

`P=68\ km`

so

`68=2(x+y)`

simplify

`34=(x+y)`---- > equation A

`x=3y-2` ---> equation B

substitute equation B in equation A and solve for y

`34=(3y-2)+y`

`34=4y-2`

`4y=34+2`

`4y=36`

`y=9\ km`

Find the value of x

`x=3(9)-2=25\ km`

therefore

The length of the rectangle is 25 km