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MakcuM [25]
3 years ago
12

Item 20 A rectangular school banner has a length of 48 inches and a width of 30 inches. A sign is made that is similar to the sc

hool banner and has a length of 15 inches. What is the ratio of the area of the school banner to the area of the sign?
Mathematics
1 answer:
Anni [7]3 years ago
7 0

Answer:

<em>The ratio of the area of the school banner to the area of the sign is  256 : 25</em>

Step-by-step explanation:

The school banner has a length of 48 inches and a width of 30 inches.

Suppose, the width of the sign is  x inch.

Given that, the sign is similar to the school banner and has a length of 15 inches.

So, <u>according to the ratio of length and width</u>, the equation will be......

\frac{48}{30}= \frac{15}{x} \\ \\ 48x=30*15=450\\ \\ x=\frac{450}{48}=9.375

So, the width of the sign is 9.375 inches.

<u>Formula for area of rectangle</u> is:  (length\times width)

So, the area of the school banner =(48\times 30)inch^2= 1440 inch^2

and the area of the sign =(15\times 9.375)inch^2 = 140.625 inch^2

Thus, the ratio of the area of the school banner to the area of the sign will be:    \frac{1440}{140.625}= \frac{256}{25}=256:25

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