Question

The length of a rectangle is 5 cm less than twice its width. The perimeter of the rectangle is 26 cm. What are the dimensions of the rectangle?

Plz help ASAP!! help a girl out

Answer 1

width = w

length = 2w - 5

Perimeter = 26

The formula for perimeter is:

P = l + l + w + w

Plug in corresponding values into this equation...

26 = (2w - 5) + (2w - 5) + w + w

Now you must solve for w

26 = 2w - 5 + 2w - 5 + w + w

Combine like terms

26 = 2w - 5 + 2w - 5 + w + w

26 = 6w - 5 - 5

26 = 6w - 10

Bring -10 to the other side by adding it to both sides

26 + 10 = 6w + (-10 + 10)

36 = 6w + 0

36 = 6w

Isolate w by dividing 6 to both sides

36/6 = 6w/6

6 = w

Width is 6 cm

To find length plug 6 in for w in the equation 2w - 5

2(6) - 5

12 - 5

7

Length is 7 cm

Hope this helped!

~Just a girl in love with Shawn Mendes