Question

the length of the rectangular garden is three feet less than twice its width. if the perimeter is 42 feet, what is its length?

Answer 1

13 feet

Explanation:

Define x :

--------------------------------------------

Let the width be x.

Width = x

Length = 2x - 3

--------------------------------------------

Perimeter Formula :

--------------------------------------------

Perimeter = 2 (Length + Width)

--------------------------------------------

FInd Width :

--------------------------------------------

42 = 2 (x + 2x - 3)

42 = 2(3x - 3)

42 = 6x - 6

48 = 6x

6x = 48

x = 8 feet

--------------------------------------------

Find Length :

--------------------------------------------

Length = 2x - 3 = 2(8) - 3 = 13 feet

--------------------------------------------

Answer: The length is 13 feet.