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soldier1979 [14.2K]
2 years ago
9

The figure is made from squares of different sizes.Find the area of A if the side of each of the two indentical smallest square

is 2cm.

Mathematics
1 answer:
Temka [501]2 years ago
3 0

Answer:

The area of square A is 256 cm²

Step-by-step explanation:

  • <em>The four sides of a square are equal in length</em>
  • <em>Area of a square = side × side</em>

In the given figure

∵ The sides of the square E = 2 cm each

∵ The sides of the square F = 2 cm each

∵ The side of square D is the sum of the sides of squares E and F

∴ The sides of the square D = 2 + 2 = 4 cm each

∵ The side of square C is the sum of the sides of squares E and D

∴ The sides of square C = 2 + 4 = 6 cm each

∵ The side of square B is the sum of the sides of squares C, E, and F

∴ The sides of square B = 6 + 2 + 2= 10 cm each

∵ The side of square A is the sum of the sides of squares B, F, and D

∴ The sides of square A = 10 + 2 + 4= 16 cm each

∵ Area of square A = side × side

∴ Area of square A = 16 × 16

∴ Area of square A = 256 cm²

∴ The area of square A is 256 cm²

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Plug this in:

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A rectangular garden has links twice as great as it's with a second rectangular garden has the same link as the first garden and
irinina [24]

Solution :

For the bigger rectangle

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Width , w = W+4

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Now we know,

Area = length x width

$a=l \times w$

$120=(2W) \times (W+4)$

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$2W^2+8W-120=0$

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We get, either W=-10   (rejecting)

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 Length of the smaller rectangle, $L=2W$

                                                            = 2(6)

                                                           = 12 m

Hence, the length of the two gardens is 12 m.                                                            

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2 years ago
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