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OverLord2011 [107]
2 years ago
12

The perimeter of a rectangular window is 26 feet. The width of the window is 5 feet more than the length. What are the dimension

s of the window?
Mathematics
2 answers:
maksim [4K]2 years ago
8 0

Answer:

  • Length = 4 feet
  • Width = 9 feet

Step-by-step explanation:

<u>We know that:</u>

  • Perimeter of window = 26 feet = 2L + 2W
  • Width = 5 + Length

<u>Solution:</u>

  • 26 feet = 2L + 2W
  • => 26 feet = 2L + 2(5 + L)
  • => 26 feet = 2L + 10 + 2L
  • => 26 feet = 4L + 10
  • => 26 - 10 = 4L
  • => 16 = 4L
  • => Length = 4 feet
  • => Width = 5 + Length
  • => Width = 5 + 4
  • => Width = 9 feet

Hence, the length of the window is 4 feet and the width of the window is 9 feet.

Aleksandr [31]2 years ago
5 0

Answer:

length = 4 feet

width = 9 feet

Step-by-step explanation:

Perimeter of a rectangle = 2W + 2L,  where W is the width and L is the length

If the perimeter is 26 feet, then:   26 = 2W + 2L

If the width is 5 feet more than the length, then:  W = L + 5  

Substitute  W = L + 5  into  26 = 2W + 2L and solve for L:

26 = 2(L + 5) + 2L

26 = 2L + 10 + 2L

26 = 4L + 10

16 = 4L

L = 4

Now substitute L = 4 into W = L + 5 to find W:

W = 4 + 5 = 9

Therefore, length = 4 feet and width = 9 feet

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