The perimeter of a rectangle is 15 ins. The lenqth is 3 ins. lonqer than 5 times the width. Find the length

A)63
B)12
C)36
D)38

None of the answers is correct since all but one is larger than the perimeter. It also can't be 12 since the rectangle would have to be at least 12 by 12 by 1 by 1: a minimum of 26 inches perimeter.

ok well i will tell my teacher to correct the problem. It is my homework and i did not understand. Thank you for your help

To find the length of the rectangle, we need to solve the problem step by step. Let's break it down:

1. Let's assume the width of the rectangle as "w" inches.
2. According to the given information, the length of the rectangle is 3 inches longer than 5 times the width. So, the length can be expressed as (5w + 3) inches.
3. The formula to calculate the perimeter of a rectangle is given by P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
4. Substituting the given values into the formula: 15 = 2[(5w + 3) + w].
5. Simplifying the equation: 15 = 2(6w + 3).
6. Distributing the 2: 15 = 12w + 6.
7. Transposing constants to one side: 12w = 15 - 6.
8. Simplifying: 12w = 9.
9. Dividing both sides by 12: w = 9/12 or w = 3/4.
10. The width of the rectangle is 3/4 inches.

To find the length, substitute the value of the width back into the expression (5w + 3):
Length = 5(3/4) + 3

Calculating:
Length = 15/4 + 12/4
Length = 27/4

So, the length of the rectangle is 27/4 inches.

Now, let's compare the length we found with the options given:

A) 63
B) 12
C) 36
D) 38

Since the length we found is 27/4 inches and none of the options match, none of the given options is the correct answer.