geometry, please help me...?

Question

http://i189.photobucket.com/albums/z204/Geometry2007/chapter8-66.jpg

ughghg i hate geometry...and i cant ever get the hang of any of it...

Answer 1

If the sides are proportional, then the areas are also proportional. However, you need to keep the units the same, so you'll need to square the sides.

(24 / 57)^2 = 558 / x
576 / 3249 = 558 / x
576 x = 558 * 3249
576 x = 1812942
x = 3147

Answer 2

The area of the smaller trapezoid is 558 m^2.

The trapezoids are similar which means all dimensions are proportional.

The trapezoid with the 24 meter base has 558 m^2.

The trapezoid with the 57 meter base would have an area equal to 57/24 times the 558 m^2 of the smaller trapezoid.

Multiply 558 by 57 and divide by 24 to get 1325.25 m^2 or

1325 m^2 (to the nearest whole number.)

Unfortunately, none of the listed choices are anywhere close to the correct answer. I have played with the problem, looking for a misprint, but found none.

Your answer for this problem is (E) None of the above.

Answer 3

The answer is a.) 3147 m^2.

That is because the areas of SIMILAR figures (similar, as stated) are PROPORTIONAL to the SQUARES of their respective sides.

The smaller area is 558 m^2. The ratio of corresponding sides is (57/24), so that the area of the larger figure must be:

558 * (57/24)^2 m^2 = 3147.469... m^2,

or 3147 m^2, rounded. QED

Live long and prosper.

Answer 4

well, the ratio of the sides is 57/24
that simplifies to 19/8
the ratio of the areas would then be (19/8)^2
or, 361/64
with that information, you can take the area of the smaller trapazoid (558) and multiply it by (361/64) and get 3147.46875, which is about 3147, or A
so yes, the answer is A

Answer 5

ratio of lengths = 57:24
ratio of areas = 57 ²:24 ²
ratio of areas = 3249 : 576
Area of larger trapezium = (3249/576) x 558 m²
= 3147 m²