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Nina [5.8K]
3 years ago
6

I need help, im a single dad construction worker from los angeles, my daughter is a very smart person. Im having trouble correct

ing a wrong answer in math. She goes to Kumon academy for math and reading, but this problem im out of words

Mathematics
1 answer:
Deffense [45]3 years ago
6 0

Answer:

B=210

C=450

Step-by-step explanation:

Since you are asking for number 8, let's work with that problem :)

Firstly, we have to know we have rectangles here, and the area of a rectangle is given by the following formula:

A_{rectangle}=(width)(height)

So, in this problem we are given as an example the rectangle A, with witdth 90 and height 30. So, its area is:

A=(90)(30)=2700

The same happens with the small rectangle B:

B=(7)(5)=35

And, we have to do the same with rectangles B and C:

<u>Rectangle B:</u>

Width:7

Height:30

B=(7)(30)=210

<u>Rectangle C:</u>

Width:90

Height:5

B=(90)(5)=450

If we sum A, B, C and D the result must be equal to the total are of the big rectangle:

A+B+C+D=2700+210+450+35=3395

Area of big rectangle with width 90+7=97 and height 30+5=35:

(97)(35)=3395

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Khianna is trying to help her neighbor Mrs. Johnson design and estimate the cost of a new square patio to be made from 16 inch s
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Part I: Scale Drawing

<span>Decide on a scale factor to represent the distance covered by the patio. Then, use the space below to design Mrs. Johnson’s patio to be a square that is at least 8 feet on each side.</span>

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Use a straightedge and a ruler to draw to scale a design for Mrs. Johnson’s patio

b) see the picture attached

Mrs. Johnson’s patio to be a square that is 10 ft x 10 ft

<span><span>c) What are the dimensions of Mrs. Johnson’s patio? </span>
</span>the dimensions of Mrs. Johnson’s patio are 10 ft x 10 ft

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where b is the length side of the square
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<span><span>e) How many pavers will be needed?  Show all work. </span>
</span>
we know that
1 paver is 16 in x 16 in dimensions
convert to ft
1 ft----------->12 in
x ft-----------> 16 in
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so
1 paver is (4/3) ft x (4/3) ft dimensions

area of one paver=(4/3)²----> 16/9 ft²

if one paver has an area of----------------> 16/9 ft²
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if one box --------------> 12 pavers
x box---------> 56.25 pavers
x=56.25/12-----> x=4.68 box-------> x=5 boxes
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5 boxes-----------> x
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<span>There is a saying that bigger is better, so why not double the dimensions of Mrs. Johnson’s patio to make the side measurement twice as big? Mrs. Johnson and I think that it would better meet her needs.  After seeing the original estimation, she thinks that she could afford to double the size. I explained that making the patio twice as big would mean twice the cost. Mrs. Johnson says, “Let’s do it!”</span>

 

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</span>
<span>Khianna is wrong to double the dimensions the cost quadruples</span>

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Answer:

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