The perimeter of Dawna's new flat screen television is 112 inches. The ratio of its length to width is 4:3. Write and solve an algebraic equation to determine the dimensions of the television.
Perimeter = 2 (W + L)
And we know that
112 = 2 ( W + L ) divide both sides by 2
56 = W + L
56 - W = L
And
L 4
__ = ___ so
W 3
56 - W 4
______ = _____ cross-multiply
W 3
3 ( 56 - W ) = 4W
168 - 3W = 4W add W to both sides
168 = 7 W divide both sides by 6
24 = W
And L = 56 - 24 = 32