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

Answer:

The length of the rectangle is 25 km

Step-by-step 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