geometry
posted by kevin .
The trapezoids are similar. The area of the smaller trapezoid is 564m^2. Find the area of the larger trapezoid to the nearest whole number.
The picture of the small one has a number 42m and the larger one has a number 57m.
Can someone please help me my possible answers aer, 576m^2, 3,249m^2, 3,181m^2, or 14m^2

geometry 
Reiny
I will assume that the values of 42 m and 57 m are corresponding sides.
Areas of similar shapes are proportional to the square of their corresponding sides
A/564 = 57^2/42^2
A = 564(3249)/1764 = appr 1039 m^2
According to my assumption, none of the given answers match.
check: √(1039/564) = 1.357...
57/42 = 1.357...
my answer is correct. 
geometry 
nothing
reiny obviously if your answer doesn't match the answer choices you are wrong.
anyways the correct answer is 3,181 m^2
Respond to this Question
Similar Questions

Geometry
Both Trapezoids are similar. The area of the smaller trapezoid is 26 ft. square. Which is the best approximation for the area of the larger trapezoid if the base is 20 ft. in the smaller trapezoid base is 16 ft. 
geometry
The trapezoids are similar. The area of the smaller trapezoid is 564m^2. Find the area of the larger trapezoid to the nearest whole number. The smaaler trapezoid is 24m, and the larger trapezoid is 57m. Possible answers: 576m^23,249m^23,181m^214m^2 … 
goemetry
The pentagons below are similar. The area of the smaller pentagon is 30m^2. What is the area of the larger pentagon in m^2? 
Geometry
1. What is the base and the height of the rectangle if the area is 216 and the perimeter is 66? 
math
Find the area of the other figure to the nearest whole number. The area of the smaller trapezoid is 771 m2. 
Math
The sides of two similar trapezoids are in a ratio of 1:3. The area of the smaller trapezoid is 12 inches squared. Find the area of the larger trapezoid 
Geometry
Please Please HELP!!!! I need the answer to this and i've worked it out but I don't know if it is correct... Please check my answer!!!! The polygons are regular polygons. Find the area of the shaded region to the nearest tenth. I can't … 
Geometry (PLEASE HELP!!!)
Please Please HELP!!!! I need the answer to this and i've worked it out but I don't know if it is correct... Please check my answer!!!! The polygons are regular polygons. Find the area of the shaded region to the nearest tenth. I can't … 
geomtry
The figures are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number. The area of the smaller trapezoid is 771 m 
math
The two trapezoids shown are similar. If the area of the larger trapezoid is 96 square centimeters, what is the area of the smaller trapezoid?