Answer:
The dimensions of the box is 6 × 6 units.
Step-by-step explanation:
Chloe fill a sand box whose area is 36 square units.
Let length be x units and width be y units.
Area of box = 36
Perimeter of box, 
![P=2(x+\dfrac{36}{x})\ \ \ \ \ \ \ \ [\text{ From }(i)]](https://tex.z-dn.net/?f=P%3D2%28x%2B%5Cdfrac%7B36%7D%7Bx%7D%29%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5B%5Ctext%7B%20From%20%7D%28i%29%5D)
Differentiate w.r to x
For critical point, 
x can't be negative.
units
Hence, Length = 6 units and width = 6 units
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Among the choices provided the incorrect statement is "<span>Playing sports will cause students to get better grades in school."</span>
Answer:
10
Step-by-step explanation:
8 to the second power is 64
6 to the second power is 36
36+64=100
the square root of 100 is 10
so 10 is the length of the hypotenuse
Hope this helps!
Answer: solutions are the same, just written differently, inequality sign is reversed when multiplying by a negative. Yes, both students are correct.Jul 8, 2018
Step-by-step explanation:
Part A
<h3>Answer:
h^2 + 4h</h3>
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Explanation:
We multiply the length and height to get the area
area = (length)*(height)
area = (h+4)*(h)
area = h(h+4)
area = h^2 + 4h .... apply the distributive property
The units for the area are in square inches.
===========================================================
Part B
<h3>Answer:
h^2 + 16h + 60</h3>
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Explanation:
If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.
Similarly, along the vertical side we'd have the h go to h+3+3 = h+6
The old rectangle that was h by h+4 is now h+6 by h+10
Multiply these expressions to find the area
area = length*width
area = (h+6)(h+10)
area = x(h+10) ..... replace h+6 with x
area = xh + 10x .... distribute
area = h( x ) + 10( x )
area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6
area = h^2+6h + 10h+60 .... distribute again twice more
area = h^2 + 16h + 60
You can also use the box method or the FOIL rule as alternative routes to find the area.
The units for the area are in square inches.
