Question

The length of a rectangle is 5 more than 3 times its width. The perimeter of the rectangle is 58 inches. What is the length of the rectangle?

Answer 1

A) 23 in.
B) 29 in.
C) 32 in.
D) 35 in.

Answer 2

L = Length
W = Width
P = Perimetre

P = 2(L + W)
L = 3W + 5

L + W = 41
3W + 5 + W = 41
4W = 36
[ W = 9 inches ]

L = 3W + 5
L = 3(9) + 5
[ L = 32 inches ]

Hope this helps

Answer 3

Thank you!

Answer 4

your welcome I really do hope u get it right

Answer 5

@LesTwins
It would be nice to do a check when solving system of equations
For example, with the solution W=9, L=32,
Perimeter= 2(W+L) = 2(9+32) = 82 \(\ne\) 58 as given in the question.
So a review of the solution is necessary.

Answer 6

Also, most of the time, we can do a substitution in situ to avoid a system of equations of two unknowns, for example:
Given: Perimeter = 58 inches
and Length = 3*width +5 inches.
Let W=width, L=length, then L=3W+5
Perimeter = 2(W+L)= 2(W+3W+5) = 58
Divide by two on both sides
4W+5=29
4W=24
W=6
and L=3W+5 = 23
Check: Perimeter = 2(W+L)=2(6+23)=2(29)=58 inches as given.
Answer: Width = 6 inches, Length = 23 inches.