A tent is in the shape of a triangular prism. The base of the triangle has a length of 3.2m, and the height of the triangle is 2.4m. The length from one triangular face to the other is 4.1m. What is the surface area of the tent excluding the bottom surface.

linear

step-by-step explanation:

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²

-3n+2+5n-7=

2n+2-7=

2n-5 (d)