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Masja [62]
3 years ago
11

What is the area of this figure?

Mathematics
2 answers:
Gelneren [198K]3 years ago
6 0

Area of the figure is 102 cm²

Step-by-step explanation:

  • Step 1: Find the area of the square with side = 6 cm.

Area of the square = (side)² = 6² = 36 cm²

  • Step 2: Find the area of the trapezoid.

Length of parallel side 1 = 7 cm

Length of parallel side 2 = 21 - 6 = 15 cm

Height = 6 cm

⇒ Area of the trapezoid = 1/2 × (Sum of parallel sides) × height

                                        = 1/2 × (7 + 15) × 6

                                        = 1/2 × 22 × 6 = 66 cm²

  • Step 3: Find the area of the figure.

Area of the figure = Area of the square + Area of the trapezoid

                             = 36 + 66 = 102 cm²

lidiya [134]3 years ago
6 0

Answer:

Area of the figure is 102 cm²

Step-by-step explanation:

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First you need to find area of square which is side x side which is 8x8 which is 64. Then you find the side of the triangle which is 14-8 which is 6 then you need to find the height of the dotted line I’m pretty sure there’s a formula but it looks like it’s 8 because it looks like a square so then the formula of a triangle is base times height divided by two so the base is 6 and height is 8 so 6x8 which is 48 and divided by two is 24 then you add the area of the triangle and the area of the square which is 64 so 64+24 which is 88 so I’m pretty sure the area is 88 then just put whatever units after :)
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Answer:

DONDODA

Step-by-step explanation:

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3 years ago
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il63 [147K]

Step-by-step explanation:

a.

simply add both equations

x + y = 2

-3x - y = 5

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

-2x + 0 = 7

x = -7/2

x + y = 2

-7/2 + y = 2

y = 2 + 7/2 = 4/2 + 7/2 = 11/2

b.

1/2 x + 2y = -13

x - 4y = 8

first multiply the first equating by 2

x + 4y = -26

x - 4y = 8

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

2x + 0 = -18

x = -18/2 = -9

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7 0
3 years ago
Three numbers have a mean of 64. When a fourth number is included the mean is doubled. What is the fourth number?
astra-53 [7]
The mean is calculated by adding up all of the given numbers and dividing by the number of numbers.

Lets, for ease of understanding, say that the first three number were 64...

Mean=(64+64+64)/3=192/3=64

Now, lets solve for the mean where 'x' is the unknown fourth number and 128 is the mean. (since, the answer said that when the fourth number was added the mean, 64, was doubled '64*2=128')

128=(64+64+64+x)/4
128=(192+x)/4
Multiply both sides by 4
512=192+x
subtract 192 from both sides
320=x

The missing number is 320..


Now lets double check our work.

Mean=(64+64+64+320)/4=512/4=128

Answer=320
8 0
3 years ago
Read 2 more answers
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