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Nadya [2.5K]
3 years ago
11

Find the area of this shape. The area of the shape is square centimeters.

Mathematics
1 answer:
aniked [119]3 years ago
7 0

Answer:

35 cm

Step-by-step explanation:

To find the area of the bottom portion, you would use the formula for finding out a triangle (B*H*1/2) which is:

(4+4)*5.75*1/2=<u>23</u>

Then, for the top portion, one would find the area of the triangles on the sides (with two marks going through). Since along the middle is 8cm, and along the top is 4, we can see that there is 2cm on either side, so that is the length of the base of the triangle. To solve for the top triangles, you would do almost the same thing as the last one:

2*2*1/2=2

But since there's two identical triangles on either side, we can multiply that by two, which would bring it to <u>4</u>.

That just leaves the rectangle that is left between the two triangles. To solve this, it's just B*H and luckily both of those are labeled for you already:

4*2=<u>8</u>  

Now, to find the total area, all you have to do is add up the areas of the different sections:

23+4+8=35 cm

Hope this helps!

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2 years ago
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Z wants to buy five shirts worth 34 dollars each and three baseball caps worth 31
ella [17]

Answer:

$199.50

Step-by-step explanation:

10% discount of $34 = 10/100*34 = $3.40

so, a single shirt costs $34-$3.40 = $30.60

half off = 50% discount of $31 = 50/100*31 = $15.50

so, a single cap costs $31-$15.50 = $15.50

so, 5 shirts and 3 caps cost now

5*$30.60 + 3*$15.50 = $153 + $46.50 = $199.50

but careful - can this be a trick question ?

the phrasing of the problem description can also suggest that the discounts are only listed to confuse us and are already included in the mentioned prices ("worth" $34 - what does that mean ? because including the discounts they are currently "worth" their prices).

then it would just plainly be

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Which ordered pair is the solution to the system of equations?
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You can use Gaussian Elimination.

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