Question

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

Answer 1

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

Answer 2

Answer:

• Length = 4 feet
• Width = 9 feet

Step-by-step explanation:

We know that:

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

Solution:

• 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.