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: SECOND OPTION.

Explanation:

Calculate the scale factor as following:

`sf=(18)/(12)\\sf=(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)*(3)/(2)\\A=122m^(2)`

Answer 2

= 122 m²

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