Answer:
B. [tex]81\text{ in}^2[/tex]
Step-by-step explanation:
We have been given that the trapezoid shown in the attachment has been enlarged by a scale of 1.5. We are asked to find the area of the enlarged trapezoid.
The area of the original trapezoid is 36 square inches.
Since each side of the trapezoid is enlarged 1.5 times, so the area of new trapezoid would be 2.25 times greater than area of original trapezoid.
The area would be 2.25 times greater because area is product of sum of lengths of parallel sides and height.
[tex]1.5\times 1.5=2.25[/tex]
[tex]\text{Area of new trapezoid}=2.25\times 36\text{ in}^2[/tex]
[tex]\text{Area of new trapezoid}=81\text{ in}^2[/tex]
Therefore, the area of the enlarged trapezoid would be [tex]81\text{ in}^2[/tex] and option B is the correct choice.
