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)
=
Here, and
are two parallel sides and
is the distance between these parallel sides.
Surface area of the vent =
= 364 square inches
Therefore, area of the metal sheet required = 364 square inches