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Tasya [4]
3 years ago
9

Six rectangles each with a common base width of 2 have lengths of 1,4,9,16,25 , and 36 . What is the sum of the areas of the six

rectangles?
Mathematics
1 answer:
user100 [1]3 years ago
4 0

To find the area of a rectangle, you multiply the length by the width. 

2*1=2

2*4=8

2*9=18

2*16=32

2*25=50

36*2=72

Now that we have all of the areas of the rectangles, we just need to add them all together. 

2+8+18+32+50+72=182

Therefore, the sum of the areas of the six rectangles is 182 (units).

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Tate fills a container with 9 1/2 cups of lemonade. Tate drinks 32 fl. oz. of lemonade. How many fluid ounces are left?
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Answer:

<u>44 fluid ounces</u> of lemonade are left.

Step-by-step explanation:

Given:

Tate fills a container with 9 1/2 cups of lemonade.

Tate drinks 32 fl. oz. of lemonade.

Now, to find the quantity of fluid ounces left.

So, we convert the unit of cups into fluid ounces.

Tate fill the container of lemonade with = 9\frac{1}{2}\ cups.

As, 1 cup = 8 fluid ounces.

So, by conversion factor:

9\frac{1}{2} \times 8

=\frac{19}{2} \times 8

=9.5\times 8=76\ fl.\ oz.

<em>Thus, Tate fill the container of lemonade with = 76 fl. oz.</em>

<em>Tate drinks lemonade = 32 fl. oz.</em>

Now, to get the fluid ounces left we subtract the quantity of lemonade Tate drink from the total quantity of lemonade filled in the container:

76-32

=44\ fl.\ oz.

Therefore, 44 fluid ounces of lemonade are left.

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