katelynsknee

We can write this problem as a simple ratio problem:

20: 2000: 40

20: 6000: ?

Since the amount of members didn't change, we can just examine the difference in the amount of wall needed to be painted. We can notice that there is 3x the amount of wall that is needed to be painted, and therefore it should take 3x the amount of time (with the same amount of people) to paint it.

So 40 x 3= 120 minutes

-knee

Hi guest!

Are you sure you have copied the problem correctly...

I assume if you drive 50 mph versus 40 mph, the time it takes should be faster, so logically it would be impossible to arrive 45 minutes later?

The area of a trapezoid is represented by the formula:   \(\frac{a+b}{2}*h\)

Where a and b represent the two bases, and h represents the height.

All we need to do here is plug in the values:

\(\frac{12+15}2{}*6\)

And then solve the expression:

\(\frac{27}{2}*6\)

= 81 cm^2

The adjacent verticies of a square split the square into two congruent triangles.

Using the distance formula:

\(\sqrt{(2-(-1))^2 +(-8-4)^2}\)

We can conclude that the Hypotenuse of the two congruent triangles is \(\sqrt{153}\)

Now using the Pythagorean Theorem we can find the side lengths of the square. Since the length and width of a square are equal we can write the following equation:

\({a}^{2}+{a}^{2}=\sqrt{153}^2\)

--> 153=2a^2

--> 76.5=a^2

--> a= sqrt(76.5)

To find the area of the square we just do length times width and get that the area of said square is 76.5 units!!!!!!

-knee