summerraeforev summerraeforev
  • 25-05-2021
  • Mathematics
contestada

Find the area of the polygon shown. Enter the number into the box.
ft? 1 ft 4 ft 4 ft

Find the area of the polygon shown Enter the number into the box ft 1 ft 4 ft 4 ft class=

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onyebuchinnaji
onyebuchinnaji onyebuchinnaji
  • 03-06-2021

Answer:

The area of the trapezium is 18 ft²

Step-by-step explanation:

Given;

Two parallel sides of the polygon as  follows;

The first parallel side = 1 ft + 4 ft = 5 ft

The second parallel side = 4 ft

If this polygon is rotated 90 degrees, it forms a trapezium with a height of 4 ft.

The area of a trapezium is calculated as;

[tex]A rea= \frac{1}{2} (sum \ of \ parallel \ sides) \times height\\\\Area = \frac{1}{2} (5 \ + \ 4) \times 4\\\\Area = 18 \ ft^2[/tex]

Therefore, the area of the trapezium is 18 ft²

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