Question

He’s trapezoids are similar. Find the area of the larger trapezoid the nearest whole number.
Answer options: 162, 122, 81, 68

Answer 1

Answer:

= 122 m²

Step-by-step explanation:

The two trapezoids are similar.

The ratio of the corresponding sides also known as the linear scale factor is;

= 12 : 18

= 2 : 3

L.s. f = 2: 3

The ratio of the area is given by (l.s.f)²

Ratio of their area = (2 :3)²

                              = 4 :9

Therefore;

4/9 = 54/x, where x is the area of the larger;

x = (54 × 9)/4

   = 121.5 m²

   ≈ 122 m²

Answer 2

Answer: SECOND OPTION.

Step-by-step explanation:

Calculate the scale factor as following:

$sf=\frac{18}{12}\\sf=\frac{3}{2}$

Now, you can calculate the area of the larger trapezoid by multiplyin the scale factor obtaine aboce by the area of the smaller trapezoid.

Therefore, you obtain the following result:

$A=54m^{2}*\frac{3}{2}\\A=122m^{2}$