A square orange rug has a green square in the center. The side length of the green square is x inches. The width of the orange b
and that surrounds the green square is 12 in. What is the area of the orange band?
1 answer:
Answer:
The area of the orange band is 576 + 48x square inches
Step-by-step explanation:
Step 1: Area of the green square
The area of the green square =
The area of the green square = square inches
Step 2: Area of the orange square
The area of the orange square =
The side of the orange square = 12+12 + x = 24 +x
Now the area of the orange square =
Step 3: The area of the orange band
Area of the orange band = area of the orange square - area of the green square
Area of the orange band =
expanding and solving the equation we get
square inches
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From any proportion, we get another proportion by inverting the extremes (or the means):
so we have:
2x=3k
2x+y=2k therefore:
3k+y=2k
y= - k
x=
The corect answer is A. -3/2
or:
From any proportion, we get another proportion by inverting the extremes and the means:
We use a property of proportions:
so we have
3y = - 2x
I hope this will help you
Complete question is;
In the triangles attached , DF is congruent to MN,DG is congruent to MP, angle D is congruent to angle P. Can you prove that triangle DFG is congruent to MNP.
Answer:
Proved below
Step-by-step explanation:
From the attached triangles, we can see that;
∠D corresponds to ∠M
∠F corresponds to ∠N
∠G corresponds to ∠P
But we are told that ∠D is congruent to ∠P. Thus, since we have 2 other congruent sides in the triangles, we can conclude that Side-Angle-Side Postulate (SAS) congruency theorem that triangle DFG is congruent to MNP.
