Mathematics, 26.02.2020 23:51 ywontu53

Item 20 A rectangular school banner has a length of 54 inches and a width of 36 inches. A sign is made that is similar to the school banner and has a length of 17 inches. What is the ratio of the area of the school banner to the area of the sign

Answers: 1

Show answers

Answers

Answer from: jaymaxron512

The ratio of the area of the school banner to the area of the sign is 1944 cubic inches : 192.61 cubic inches.

Step-by-step explanation:

Given:

A rectangular school banner has a length of 54 inches and a width of 36 inches. A sign is made that is similar to the school banner and has a length of 17 inches.

Now, to find the ratio of the area of the school banner to the area of the sign.

Dimensions of school banner :

Length = 54 inches.

Width = 36 inches.

Dimension of school sign:

Length = 17 inches.

So, to we find the width of sign by using cross multiplication method:

Let the width be

So, 54 is equivalent to 36.

Thus, 17 is equivalent to

$\frac{54}{36} =\frac{17}{x}$

By cross multiplying we get:

54x=612

Dividing both sides by 54 we get:

$x=11.33\ inches.$

Thus, the width of sign = 11.33 inches.

Now, to get the ratio of the area of the school banner to the area of the sign:

Area of the school banner : Area of the school sign.

= $54\times 36:17\times 11.33$

= 1944:192.61

Therefore, the ratio of the area of the school banner to the area of the sign is 1944 cubic inches : 192.61 cubic inches.

Answer from: CoolRahim9090

The ratio of the area of the school banner to the area of the sign is 1944 : 192.61.

Step-by-step explanation:

Given:

Length of the School banner (l_1) = 54 inches

width of the school banner (w_1) = 36 inches

Length of the sign (l_2) = 17 inches

We need to find the ratio of the area of the school banner to the area of the sign

Solution:

First we will find the width of the sign.

Let the width of the sign be w_2

Now we know that;

When two rectangles are similar to each other then their ratio of the dimension are equal.

so we can say that;

$\frac{l_1}{l_2}=\frac{w_1}{w_2}\\\\\frac{54}{17}=\frac{36}{w_2}$

By using Cross multiplication we get;

$w_2=\frac{17\times36}{54} = 11.33\ in$

Now we will find the Area.

Area of school banner is equal to length of the school banner times width of the school banner.

framing in equation form we get;

Area of school banner = $54\times36 = 1944 \ ft^2$

Area of the sign is equal to length of the sign times width of the sign.

framing in equation form we get;

Area of the sign = $17\times11.33= 192.61\ ft^2$

Now we will find the ratio of the area of the school banner to the area of the sign.

$\frac{\textrm{Area of School Banner}}{\textrm{Area of the Sign}}=\frac{1944}{192.61}$

Hence The ratio of the area of the school banner to the area of the sign is 1944:192.61.

Answer from: Quest

your answer is b ^w^ hope i

Which could be a conditional relative frequency table ?

Answer from: Quest

The answer is something i don’t know

Another question on Mathematics

Mathematics, 21.06.2019 15:50

In the following situation, determine whether you are asked to determine the number of permutations or combinations. then do the calculation how many ways are there to pick a starting five from a basketball team of twelve members? a. permutation; ps - 2520 b. combination; 1c, - 792 c. combination: 2cs - 2520 d. permutation; ps - 95040

Answers: 1

Answer

Mathematics, 21.06.2019 21:50

Aparticular telephone number is used to receive both voice calls and fax messages. suppose that 25% of the incoming calls involve fax messages, and consider a sample of 25 incoming calls. (a) what is the expected number of calls among the 25 that involve a fax message?

Answers: 1

Answer

Mathematics, 22.06.2019 05:30

In the figure, ab = 14 inches, ac= 16 inches,ay=9 inches, and bz = 10 inches find the area of the triangle abc. answer quick

Answers: 2

Answer

Mathematics, 22.06.2019 06:30

She was given that ∠a ≅ ∠edf, and has already proven segment (ab) ≅ segment (de). which pair of corresponding parts and triangle congruency method would not prove δabc ≅ δdef?

Answers: 2

Answer

You know the right answer?

Item 20 A rectangular school banner has a length of 54 inches and a width of 36 inches. A sign is ma...

Questions