A painter needs to cover a triangular region 63m by 66m by 73m. A can of paint covers 70squaremeters. How many cans will be needed

Answer 1

To find the total area of the triangular region, we can use Heron's formula.

Let's label the sides of the triangle as a, b, and c. Therefore, the sides are:

a = 63m
b = 66m
c = 73m

Using Heron's formula:

s = (a + b + c)/2
s = (63 + 66 + 73)/2
s = 101

Now, we can calculate the area of the triangle:

Area = √(s * (s-a) * (s-b) * (s-c))
Area = √(101 * (101-63) * (101-66) * (101-73))
Area ≈ √(101 * 38 * 35 * 28)
Area ≈ √(37127140)
Area ≈ 6091m^2

Now, we can calculate the number of cans needed:

Number of cans = Total area / Area covered per can
Number of cans = 6091 / 70
Number of cans ≈ 87.01

Therefore, the painter will need approximately 87 cans of paint to cover the triangular region.