The triangle and the trapezoid have the same area. base b2 is twice the length of base b1. what are the lenghts of the bases of the trapezoid. the triangle is 2lcm base and 6cm height. decompose the triangle

Step-by-step explanation:

The formula of an area of a triangle:

b - base

h - height

We have b = 21cm, h = 6cm.

Substitute:

The formula of an area of a trapezoid:

b₁, b₂ - bases

h - height

We have b₁ = 2b₂, therefore b₁ + b₂ = 2b₂ + b₂ = 3b₂.

The area of a triangle and the area of a trapezoid are the same.

Therefore

        multiply both sides by 2

         divide both sides by 3

        divide both sides by h

7.25

step-by-step explanation:

we know that 7 equals to 7.0. we also know that 1/4=0.25. so we can add the two together and we get 7.25