Question

The trapezoid and kite have been broken for you.

Answer 1

Answer:

• 20 m²
• 21 m²
• less than

Step-by-step explanation:

Trapezoid

The trapezoid has been broken into two triangles and a rectangle. The two triangles both have the same dimensions, so both have the area ...

  A = (1/2)bh = (1/2)(2 m)(5 m) = 5 m²

The rectangle has area ...

  A = bh = (2 m)(5 m) = 10 m²

So, the total area of the trapezoid is ...

  trapezoid area = 5 m² +10 m² +5 m²

  trapezoid area = 20 m²

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Kite

The kite has been broken into two triangles, so the area of each of them is ...

  A = (1/2)bh

  A = (1/2)(7 m)(3 m) = (21/2) m²

Then the area of the two halves of the kite will be ...

  kite area = 2 × (21/2 m²)

  kite area = 21 m²

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The area of the trapezoid is 1 m² less than the area of the kite.