Answer:
First, we need to know how to calculate the area and the permiter of a rectangle.
To calculate the area, we multiply base by height and to calculate the perimeter, we sum all sides.
Knowing this, we can say that the area is 3x * (x+5) and the perimiter is 3x + 3x + x + 5 + x + 5, as we know both are the same, we write it as an equation:
Now we solve the equation:
As the negative result doesn't have sense, we only pick the second one: 1.
If x = 1, then area would be 3*6 = 18 square inches and perimeter 3+3+6+6 = 18 inches
Let s and a represent the position of Sal and Amir respectively.
s=.75+4.5t and a=-.25+6.7t
When Sal catches Amir, s=a so we can say.
-.25+6.7t=.75+4.5t subtract 4.5t from both sides
-.25+2.2t=.75 add .25 to both sides
2.2t=1 divide both sides by 2.2
t=5/11 hours
t≈0.45 hours (to nearest hundredth of an hour)
Denise is constructing A square.
Note: A square has all sides equal.
We already given two vertices M and N of the square.
And another edge of the square is made by from N.
Because a square has all sides of equal length, the side NO should also be equal to MN side of the square.
Therefore, <em>Denise need to place the point of the compass on point N and draw an arc that intersects N O, using MN as the width for the opening of the compass. That would make the NO equals MN.</em>
Therefore, correct option is :
D) place the point of the compass on point N and draw an arc that intersects N O, using MN as the width for the opening of the compass.
