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mestny [16]
3 years ago
8

Tatami mats are used as a floor covering in Japan. one possible layout uses four identical rectangular mats and one square mat.

The area of the square mat is half the area of one of the rectangular mats. What is the length and width of one rectangular mat?
Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
4 0

Answer with explanation:

→  Let L be the Length and B be the Breadth of rectangular mat.

     Area of rectangular Mat = Length (L) * Breadth (B)

                                              =L*B square units

→  Let , a be the side of Square.

Area of square =(Side)²

                             =a² square units

→→It is also, given that The area of the square mat is half the area of one of the rectangular mats.

\rightarrow a^2=\frac{LB}{2}\\\\LB=2a^2\\\\ \text{Length of one square mat(L)}=\frac{2a^2}{\text{Breadth(B)}}\\\\\L=\frac{2\times {\text{Area of Square}}}{\text{Breadth of rectangle}}\\\\B=\frac{2\times {\text{Area of Square}}}{\text{Length of rectangle}}

Basile [38]3 years ago
3 0
So by definition, area is equal to the length (x) times the width (y). The area of the square mat is = x × y, or xy
If the area of<span> the rectangular mat is twice that of the square mat, the area of the rectangular mat would have to be = 2 </span>× x × y<span>
This can be written as 2x </span>× y, making the length of the rectangular mat twice that of the square mat's length, and the width the same as the square mat's width.<span>

</span>
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2 years ago
The product of four different positive integers is 100. What is the sum of these four integers?
Leno4ka [110]

Step-by-step explanation:

The Answer for the above question is

The four integers are 1,2,5,10. And Sum of the four integers is 18 .

<u>Method : </u>

Product of four different positive integers is 100 .

<u>First</u> of all lets break the number "100"

 ⇒  100 = 50*2

 ⇒ 100 = 25 * 2 * 2

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But here we get the same  integers 2 and 5 and we want different positive integers . So hereby merge 5 * 2  which is 10.

Let's get to the possible combination -

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3 years ago
The houck family's train traveled 552 miles in 6 hours. The Roberts family traveled at 744 miles in 8 hours which family is trav
rusak2 [61]

Answer: Both families were travelling at the same speed/rate of 1mile/0.65mins or 1mile/0.01hr.

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Therefore considering Houck speed,

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To get that minutes in hour, just divide by 60 to get concert to hours.

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Answer:

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Hope this helps and please award brainliest if possible!

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