Question

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. I need to know ASAP!!!

Answer 1

Answer:

The dimensions are length=32 inches and width=24 inches

Step-by-step explanation:

Recall that perimeter of a rectangle is

$P = 2(w + l)$

The ratio of its length to width is 4:3.

This implies that,

$\frac{l}{w} = \frac{4}{3} \\ l = \frac{4}{3} w$

We substitute P=112 inches, and l in terms of w to get;

$112 = 2(w + \frac{4}{3}w)$

$56 = w + \frac{4}{3}w$

$168 = 3w + 4w$

$7w = 168$

$w = \frac{168}{7} = 24$

The length is

$l = \frac{4}{3} \times 24 = 32$