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Mrs. Harper asked the class to find the area of an isosceles trapezoid.

Suzy decomposed the trapezoid and rearranged the parts to form

a rectangle of equal area as shown.
Which pair of expressions represents the area

of the trapezoid and rectangle?




12(5 X 4) and (8 – 3)(4)




12(2 + 8)(4) and (2 + 3)(4)




8 X 5 and 2(5)(4)




2(8 + 4) and (8 – 2)(4)

Mrs Harper asked the class to find the area of an isosceles trapezoid Suzy decomposed the trapezoid and rearranged the parts to form a rectangle of equal area a class=

Respuesta :

fieryanswererft

1/2(2 + 8)(4) and (2 + 3)(4)

area of trapezoid:

[tex]\sf \dfrac{1}{2} (a + b) *h[/tex]

Here:

  • height: 4 unit
  • a, side 1: 2 unit
  • b, side: 8 unit
  • slant height: 5 unit

So area of this trapezium:

[tex]\sf \dfrac{1}{2} (2 + 8) *4[/tex]

[tex]\sf 20 \ units[/tex]

area of rectangle:

length * width

5 * 4

20 units²

Area of trapezoid:-

  • 1/2(Sum of parallel sides)(Height)

Put the values

  • 1/2(2+8)(4)
  • 2(10)
  • 20units²

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