The trapezoid is enlarged by a scale factor of 3, what is the area of the scaled copy?
![The trapezoid is enlarged by a scale factor of 3 what is the area of the scaled copy class=](https://us-static.z-dn.net/files/dcd/239cd9f1df522db0a9eec5269afb7cfe.png)
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