Question

How many square inches of sheet metal are used to make the vent transition​ shown? (The ends are​ open.)

Answer 1

Answer:

Area of the metal sheet required = 364 square inches

Step-by-step explanation:

Area of the metal sheet required = Surface area of the lateral sides of the vent transition

Since, lateral sides of the vent is in the shape of a trapezoid,

Therefore, surface area of the vent = 4(Surface area of one lateral side)

                                                           = $4[\frac{1}{2}(b_1+b_2)h]$

Here, $b_1$ and $b_2$ are two parallel sides and $h$ is the distance between these parallel sides.

Surface area of the vent = $4[\frac{1}{2}(8+5)14]$

                                         = 364 square inches

Therefore, area of the metal sheet required = 364 square inches