Answer:
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Answer:
Step-by-step explanation:
The triangles are all similar, so corresponding sides are proportional.
__
<h3>x</h3>
long side/short side = x/6 = 12/x
x² = 72 . . . . . . . multiply by 6x
x = 6√2 . . . . . . take the square root
__
<h3>y</h3>
hypotenuse/long side = y/12 = (12+6)/y
y² = 216 . . . . . multiply by 12y
y = 6√6 . . . . . take the square root
Answer:
A
Step-by-step explanation:
Sum the parts of the ratio, 5 + 3 = 8 parts
Divide the total area by 8 to find the value of one part of the ratio.
1624 ÷ 8 = 203 cm² ← value of 1 part of ratio, thus
Area of B = 3 × 203 = 609 cm² → A
Answer:

Since the measurement can't be negative the correct answer for this case would be 
Step-by-step explanation:
Let's assume that the figure attached illustrate the situation.
For this case the we know that the original area given by:

And we know that the initial area is a half of the entire area in red
, so then:

And we know that the area for a rectangular pieces is the length multiplied by the width so we have this:

We multiply both terms using algebra and the distributive property and we got:

And we can rewrite the expression like this:

And we can solve this using the quadratic formula given by:

Where
if we replace we got:

And the two possible solutions are then:

Since the measurement can't be negative the correct answer for this case would be 
7 1/2 = 15/2 = 60/8
4 7/8 = 39/8
60/8 + 39/8 = 99/8 = 12 3/8 yards