How do I solve this? Show work please
1 answer:
Answer:
x=5 so x+1 = 6 and x+3 = 8
Step-by-step explanation:
It's all about proportions. These are similar triangles, so corresponding sides are proportional. Basically you want to solve an equation
Let me know if you cannot see how EG corresponds to GH or how EF corresponds to IH.
Anyway, from here we just solve. Again, let me know if you have any questions.
4(x + 1) = 3(x + 3)
4x + 4 = 3x + 9
x = 5
And you can check
[tex]\frac{6}{8} = \frac{3}{4}[/tex
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<h2>Answer:</h2>
The ratio of the area of region R to the area of region S is:
The sides of R are in the ratio : 2:3
Let the length of R be: 2x
and the width of R be: 3x
i.e. The perimeter of R is given by:
( Since, the perimeter of a rectangle with length L and breadth or width B is given by:
)
Hence, we get:
i.e.
Also, let " s " denote the side of the square region.
We know that the perimeter of a square with side " s " is given by:
Now, it is given that:
The perimeters of square region S and rectangular region R are equal.
i.e.
Now, we know that the area of a square is given by:
and
Hence, we get:
and
i.e.
Hence,
Ratio of the area of region R to the area of region S is: