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V125BC [204]
3 years ago
12

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 a

lgebraic equation to determine the dimensions of the television. I need to know ASAP!!!
Mathematics
1 answer:
OLEGan [10]3 years ago
5 0

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

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