Problema Solution
The perimeter of a cross section of a "two-by-four" piece of lumber is 10in. The length is 2in. more than width. Find the actual dimensions of a cross section of a two-by-four.
Answer provided by our tutors
The formula for the circumference/perimeter is:
2L + 2W = 10
Remember that L = W + 2
Substitute the value of L for L
2(W + 2) + 2W = 10
Expand:
2W + 4 + 2W = 10
Combine like terms:
4W + 4 = 10
Subtract 4 from each side:
(4W + 4) - 4 = 10 - 4
4W = 6
Divide each side by 4:
4W / 4 = 6 / 4
W = 1 1/2
L = 1 1/2 + 2 = 3 1/2
Width = 1 1/2"(1.5"), Length = 3 1/2"(3.5")