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frosja888 [35]
3 years ago
13

Find the area. The figure is not drawn to scale.

Mathematics
1 answer:
VMariaS [17]3 years ago
4 0

The figure on the top left is a triangle with base 11 and height 8, for an area of

A_1=\dfrac{11\cdot 8}{2}=44

Immediately below, we have a rectangle with dimensions 11 and 9, for an area of

A_2=11\cdot 9=99

Moving to the right, we have a parallelogram with base 9 and heght 11, which again has height

A_3=11\cdot 9=99

Finally, the rightmost figure is a triangle with base 8 and height 9, for a total of

A_4=\dfrac{8\cdot 9}{4}=36

Sum these areas and you'll get the total area

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Sharon and Jacob started at the same place. Jacob walked 3 m north and then 4 m west. Sharon walked 5 m south and 12 m east. How
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Consider the coordinate plane:

1. The origin is the point where Sharon and Jacob started - (0,0).

2. North - positive y-direction, south - negetive y-direction.

3. East - positive x-direction, west - negative x-direction.

Then,

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The distance between two points with coordinates (x_1,y_1) and (x_2,y_2) can be calculated using formula

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

Therefore, the distance between  Jacob and Sharon is

D=\sqrt{(12-(-4))^2+(-5-3)^2}=\sqrt{16^2+8^2}=\sqrt{256+64}=\sqrt{320}=8\sqrt{5}\approx 11.18\ m.

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Step-by-step explanation:

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