1

Problem

The perimeter of a rectangle is 48 feet, and the width of the rectangle is less than 6 feet of its length. Find the length and width.

2

Step

The perimeter(P) of the rectangle is

48 feet

3

Step

The width(w) of the rectangle is less than 6 feet of its length(l).

w = l - 6

4

Formula

Perimeter of rectangle P = 2(l + w).

5

Step

Now, we can substitute the expression for w from above into the perimeter formula:

48 = 2(l + l - 6)

6

Step

Now, simplify and solve for l:

48 = 2(2l - 6)
48 = 4l - 12

7

Step

Add 12 to both sides

48 + 12 = 4l - 12 + 12
60 = 4l

8

Step

Divide both sides by 4 to find l

\$60/4 = (4l)/4\$
l = 15

9

Step

Now that we have found the length (l), we can find the width (w) using the relationship w = l - 6

w = 15 - 6 = 9

10

Solution

So, the correct option C is Length = 15 feet, Width = 9 feet.

11

Sumup

Please summarize steps

Choices

12

Choice-A

the given option’s value does not match the answer, confirming the inaccurate dimensions for a rectangle, making it the wrong choice

Wrong Length = 14 feet, Width = 9 feet

13

Choice-B

the given option’s value does not match the answer, confirming the inaccurate dimensions for a rectangle, making it the wrong choice

Wrong Length = 18 feet, Width = 12 feet

14

Choice-C

The given option’s value matches the answer, confirming the accurate dimensions for a rectangle, making it the right choice

Correct Length = 15 feet, Width = 9 feet

15

Choice-D

the given option’s value does not match the answer, confirming the inaccurate dimensions for a rectangle, making it the wrong choice

Wrong Length = 16feet, Width = 8feet

16

Answer

Option

C

17

Sumup

Please summarize choices