Mr. Williams is painting only the back of his bar a gallon of paint cover and 70 ft.² how many square feet will Mr. Williams be painting how many gallons of paint does he need to buy

264/70, or 3.77142857.

Step-by-step explanation:

You can first calculate how much paint is needed for the bottom part.

Do 18*12 to do this, and you'll find that 216 sq ft is needed for that.

You can then calculate the top, or the triangle part.

The formula for area of a triangle is .5b*h.

The base is 12 feet, and the height is 10 feet, as you can find this by doing 28-18.

Putting this in the formula, you'll find that the entire triangle is .5*12*10 = 60.

However, you have to get rid of the window at the top, so do 4*3 (dimensions of the window), and subtract that from 60, which = 48.

Now, with values from the bottom part and the top part, you can add them together to get how much sq ft it is. 216+48= 264.

Now, you will do 264/70 to find how many gallons you need. This = around 3.77.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240