Respuesta :

Answer:

Step-by-step explanation:

After enlargement,

Parallel  sides are: 6*3 = 18 cm  & 10*3 = 30cm

Altitude = 5 *3 = 15 cm

Area =[ (sum of the length of parallel sides)*height] ÷2

      [tex]= \frac{(18+30)*15}{2}\\= \frac{48*15}{2}\\\\= 24 *15\\\\= 360[/tex]

Answer:

360 cm²

Step-by-step explanation:

The area (A) of the trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ are the parallel bases

Here h = 5 , b₁ = 10, b₂ = 6 , then

A = [tex]\frac{1}{2}[/tex] × 5 × (10 + 6) = 2.5 × 16 = 40 cm²

Enlarging by a scale factor of 3 means the area is increased by a factor

3² = 9

area of scaled copy = 9 × 40 cm² = 360 cm²

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