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Sever21 [200]
3 years ago
13

A square of area 36cm is cut to make two rectangles a and b the ratio of area a to b is 2:1 work ou the dimensions of rectangles

a and b
Mathematics
1 answer:
RoseWind [281]3 years ago
8 0

Answer:

The dimensions of rectangle a are 6x4 and dimensions of rectangle b are 6x2.

Step-by-step explanation:

We are given a square with area 36 squared cm. Therefore, dimension of the square will be 6 cm.

The square is cut into two rectangles with areas in the ratio 2:1.

Let the dimensions of the rectangles be 6*a and 6*b. Therefore, we can set up the ratio of areas as:

\frac{6a}{6b}=\frac{2}{1}  \\a=2b

Moreover, we can set the combined area of rectangles equal to the area of square to form another equation:

6a+6b=36\\a+b=6

Using substitution method, we can solve for 'a' and 'b' as shown below:

2b+b=6\\3b=6\\b=2

And

a=2b\\a=2(2)\\a=4

Therefore, dimensions of the two rectangles are 6x4 and 6x2, respectively.

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