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Anika [276]
3 years ago
9

Hey there please help me with this question

Mathematics
2 answers:
olga_2 [115]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

sum the parts of the ratio, 2 + 1 = 3 parts , thus

81 cm² ÷ 3 = 27 cm² ← value of 1 part of the ratio

2 parts = 2 × 27 = 54 cm²

Area of A = 54 cm² and area of B = 27 cm²

The side of the original square = \sqrt{81} = 9 cm

The width of both rectangles is 9 cm ( width remains unchanged after cut )

Thus

Rectangle A

9 × length = 54 ( divide both sides by 9 )

length = 6 cm

Rectangle B

9 × length = 27 ( divide both sides by 9 )

length = 3 cm

Rectangle A → length = 6 cm, width = 9 cm

Rectangle B → length = 3 cm , width = 9 cm

Alja [10]3 years ago
3 0

Answer:

<u>Rectangle A</u>                 <u>Rectangle B</u>

length = 9 cm                length = 9 cm

width = 6 cm                  width = 3 cm

Step-by-step explanation:

Area of square At = 81 cm²

Square is cut into two pieces = A + B

The ration of area A to B = 2:1

Find

Rect A        Rect B

length         length

width           width

---------------------------------

first, get the side of the square = A = s²

81 = s²,      

s = √81      

s = 9 cm

since the ratio is 2:1, therefore the side can be divided into 3

9 ÷ 3 = <u>3 cm </u> ----- take note of this to get the <u>Width</u>

<u>Rectangle A</u>

L = 9 cm (which is the s = 9 cm)

W = <u>3 cm</u> (2 ratio) = 6 cm

<u>Rectangle B</u>

L = 9 cm  (which is the s = 9 cm)

W = <u>3 cm</u> (1 ratio) = 3 cm

<u>Proof:</u>

At = A + B

81 = (9x6) + (9x3)

81 = 54 + 27

81 = 81  ----- OK

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