The side of the barn is made of 2 shapes, a triangle and a rectangle. Find the area of each shape, then add together to find the total area.
To find the area of the triangle, we multiply 1/2 x (triangle base x triangle height), we can find the triangle height by subtracting the height on the right by the height on the left, so 26.5-14.5 = 12.5ft.
The area of the triangle is 1/2 x (22.8x12.5) = 142.5 square ft.
The area of the rectangle is calculated by multiplying one side by the other, which is 22.8x14.5 = 330.6 square feet.
The total area of the side of the barn is 330.6 + 142.5 = 473.1 square feet.
Since we now know the area of the side of the barn, we can find the cost of paint needed. A one gallon paint can covers 350 square feet and costs $20, but we need to paint 473.1 square feet so we'll need to buy a second can. This means we can easily paint the side of the barn with 2 cans, costing $40 in paint.
Step-by-step explanation: If I replace the variables with the numbers, the equation would be: 36+(4x2x3)/36-(4x2x3). First, solve the numbers in the parentheses. Both numbers in the parenthesis equals 24 because 4x2 is 8 and 8x3 is 24. Then, 36+24/36-24. PEMDAS, so 24/36 is 0.666666666667. Then 36+0.666666666667 is 36.666666666667. Next, 36.666666666667 minus 24 is 12.666666666667.
B>a
b=8a-1
and we are told that 98=a+b so a=98-b, using this value for a in the equation above gives you:
b=8(98-b)-1
b=784-8b-1
b=783-8b
9b=783
b=87, and since a+b=98, a=11
so a and b are 11 and 87