The figures below are similar. the area of the larger trapezoid is 121m^2. find the area of the smaller trapezoid to the nearest square meter. !

54 square meters

Step-by-step explanation:

Similar figures have corresponding lengths as equal ratios.

Smaller trapezoid's base is given 12 and larger trapezoids base is given 18, so the scale factor is

this means the lengths of larger is 1.5 times lengths of smaller.

In terms of area, the scale factor is squared. Hence the scale factor for area is  

this means the area of larger is 2.25 times the area of smaller.

Now, Let area of smaller trapezoid be x so we can say:  

to nearest square meter, x = 54 meters squared

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b