Mathematics Middle School

A square of 81cm² is cut to make two rectangles, A and B
The ratio of area A to are B is 2:3
Work out the dimensions of A and B

A Square Of 81cm Is Cut To Make Two Rectangles, A And BThe Ratio Of Area A To Are B Is 2:3 Work Out The

Answers

Answer 1

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.

Answer 2

Answer:

Length of A: 9

Width of A: 6

Length of B: 9

Width of B: 3

Step-by-step explanation:

Related Questions

PLEaseeee HELP MEEE I beg pleaseee I think I got this wrong please correct me.

Answers

Answer:

its 7.2

find the distance using the formula

square root ((y2-y1)^2+(x2-x1)^2)

hope that answers your question.

comment for more explanation

The answer is 7.2 that’s the right answer

Help!!
I need help with my math!!

Answers

Answer:

5

Step-by-step explanation:

12 - 7 = 5

S O L U T I O N :

Using Pythagoras Theorem

Hyp² = Adjacent² + Opp²

13² = d² = 12²

d² = 13² - 12²

d² = 169 - 144

d² = 25

d = √25

d = 5

The correct answer is 5, OPTION C IS CORRECT

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