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Sphinxa [80]
3 years ago
12

The perimeter of a square is 32cm. find the area​

Mathematics
1 answer:
Helen [10]3 years ago
4 0

Answer:

64 cm

Step-by-step explanation:

If the perimeter of a square is 32cm. Each side is the same length, and there are 4 sides. 32÷4=8

Each side equals 8. 8•8=64 The area is 64cm.

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A rectangular school banner has a length of 36 inches and a width of 52 inches. A sign is made that is similar to the school ban
zalisa [80]

Answer:

<u>4212 : 1573</u> is the ratio.

Step-by-step explanation:

Given:

Length of rectangular school banner is 36 inches and width is 52 inches.

And, the sign made is similar to banner.

The sign's length is 22 inches.

Now, we have to find the ratio of the area of the banner to the area of the sign.

So, we have dimensions of rectangular school banner:

Length = 36 inches.

Width = 52 inches.

But, we have only length of sign:

Length = 22 inches.

Now, we have to find the width of sign by using cross multiplication method:

Let the width of sign be x.

<em>As, sign is similar to banner.</em>

So, if 36 inches is equivalent to 52 inches.

Then, 22 inches is equivalent to x.

\frac{36}{52} =\frac{22}{x}

<em>By cross multiplying we get:</em>

<em />36x=1144<em />

<em>Dividing both sides by 36 we get:</em>

x=31\frac{7}{9} .

<em>Hence, the width of sign is </em>31\frac{7}{9}<em> inches.</em>

Now, we find the area of banner and the area of sign by putting formula:

Area of banner = length × width.

Area\ of\ banner=36\times 52

Area\ of\ banner=1872\ square\ inches.

Now, area of sign:

Area\ of\ sign=length\times width\\\\Area\ of\ sign=22\times 31\frac{7}{9} \\\\Area\ of\ sign=22\times \frac{286}{9} \\\\Area\ of\ sign=\frac{6292}{9} \ square\ inches.

Now, to get the ratio of the area of the school banner to the area of the sign:

1872:\frac{6292}{9}

=\frac{1872}{\frac{6292}{9} } \\\\=\frac{16848}{6292}

<em>On simplifying we get:</em>

=\frac{4212}{1573}

=4212:1573.

Therefore, the ratio of the area of the school banner to the area of the sign is 4212:1573.

8 0
3 years ago
raul bought 2 packs of erasers he found 2 erasers in his backpack now raul has 8 erasers were in each pack?
r-ruslan [8.4K]
There was 3 erasers in each pack because 2 times 3 is 6 plus 2 equals 8. so there are 3 in each pack.
7 0
3 years ago
Read 2 more answers
4 tomatoes cost 3.4 what is the unit rate
choli [55]
4\ tomatoes\ :\ 3.40\ dollars

Divide each side by 4 (division property of equality lets us do this) to find the price of one tomato.

1\ tomato\ :\ \boxed{0.85\ dollars} (85 cents)
6 0
3 years ago
Read 2 more answers
The vector ~v represents the displacement vector from Portland, Oregon to Houston, Texas. The vector w~ represents the displacem
Art [367]

Answer:

a

the displacement of the plane is  - \= w

b

The displacement of plane  from Portland to Akron with layover at Houston is  

       \= v  + \= w

c

  the vector which defines this displacement is  \= v + \= w  =- 2500 \ km

Step-by-step explanation:

From the question we are the

   The displacement from Portland, Oregon to Houston, Texas. is  \= v

    The displacement  from Houston, Texas to Akron, Ohio.  is \= wa

a

   The motion of the plane in question a is in the opposite direction to vector \= w

So the displacement of the plane is  - \= w

b

The motion of Portland to Houston to Akron is in the direction of both vector \= v and  \= w  so

The displacement of plane  from Portland to Akron with layover at Houston is  

       d =  \= v  + \= w

c

From the question we are told that the plane flies over Portland to get to  Anchorage, Alaska which implies that it is moving in opposite direction to the vector \= v

   Give that distance from Portland to Houston is  \= v  = 3000 km

           and the distance from Portland to  Anchorage is \= w = - 5500km

Then the vector which defines this displacement is mathematically represented as

   \= v + \= w  = 3000  -5500

    \= v + \= w  =- 2500 \ km

       

4 0
3 years ago
Ricky has gone through 24 pencils in the past three months. At this rate, how many pencils will Ricky go through in seven months
wlad13 [49]
Ricky will go through 56 pencils in seven months
3 0
3 years ago
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