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3 years ago

A square of 81cm² is cut to make two rectangles, A and B

Mathematics

2 answers:

grandymaker [24]3 years ago

8 0

Answer:

Length of A: 9

Width of A: 6

Length of B: 9

Width of B: 3

Step-by-step explanation:

If you look at the diagram, you can see that the length of rectangles A and B are the same, and are also the same as they were in the original square. We can find the length of each side by finding the square root of the area of the square to give us the length and width of the square which is 9. Now that we know that the length of both rectangles A and B, we can find the width of both rectangles by taking 9, and splitting it into 3 portions of 3. Since the ratio of area is 2:1, we could also do this with the area, but since we know the lengths are the same, we know the widths are proportional to the area. Using the ratio of 2:1, and the 3 portions of 3, you can combine 2 of these portions to get 6, and since the ratio 6:3 is proportional to 2:1, these measurements can be used as the width of each rectangle. Thus, the answer given above.

katen-ka-za [31]3 years ago

8 0

Answer:

Length of A: 9

Width of A: 6

Length of B: 9

Width of B: 3

Step-by-step explanation:

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Read 2 more answers

Shayna's school is selling tickets to a play. On the first day of ticket sales the school sold 13 senior citizen tickets and 13

jasenka [17]

The price of one senior citizen ticket is 8$ and one student ticket is 12$.

<h3>What is the equation?</h3>

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let the price of one senior citizen ticket = x

And the price of one student ticket = y

Given that, on the first day of ticket sales, the school sold 13 senior citizen tickets and 13 student tickets for a total of $260

The school took in $212 on the second day by selling 13 senior citizen tickets and 9 student tickets.

13x +13y = 260

13x + 9y = 212

Subtract the equation from first

13x +13y - (13x + 9y) = 260 - 212

4y = 48

y = 48/4

y = 12

Substitute the value of y in the equation 13x + 9y = 212

13x + 9(12) = 212

13x + 108 = 212

13x = 212 - 108

13x = 104

x = 104/13

x = 8

Hence, the price of one senior citizen ticket is 8$ and one student ticket is 12$.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ1

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2 years ago