Use a system of equations to solve the word problem. A rectangular table has a perimeter of 18 feet. Its length is 5 feet greater than its width. Find the dimensions.
A. l = 8 and w = 3
B. l = 7 and w = 2
C. l = 2 and w = 7
D. l = 3 and w = 8

Question

Use a system of equations to solve the word problem. A rectangular table has a perimeter of 18 feet. Its length is 5 feet greater than its width. Find the dimensions. 
	A.	l = 8 and w = 3
	B.	l = 7 and w = 2
	C.	l = 2 and w = 7
	D.	l = 3 and w = 8

anonymous · Answer

Well you can a automatically eliminate c. and d. because the length is not 5 feet longer than the width

anonymous · Answer

Then you just have to find which one works:
8 + 8 + 3 + 3
or 
7 + 7 + 2 + 2

anonymous · Answer

So which one equals 18?

anonymous · Answer

7+7+2+2

anonymous · Answer

P = 2L + 2W
L = W + 5
now sub W + 5 in for L
18 = 2(W + 5) + 2W
18 = 2W + 10 + 2W
18 = 4W + 10
18 - 10 = 4W
8 = 4W
2 = W

L = W + 5
L = 2 + 5
L = 7

so width = 2 and length = 7