Question

What is the relationship between the area of ABCD and the area of EFGH?


A) The ratio of the area of ABCD to the area of EFGH is 1:9.

B) The ratio of the area of ABCD to the area of EFGH is 3:1.

C) The ratio of the area of ABCD to the area of EFGH is 1:3.

D) The ratio of the area of ABCD to the area of EFGH is 9:1.

Answer 1

first step would be to find what "x" equals to :)
So we know from the diagram that 6 : 18 and x : 27
Or 6/18 = x/27
Therefore x = ?

Answer 2

x = 9?

Answer 3

excellent! ^_^
So now, we find the area of each rectangle.
Remember to find area of a rectangle = length * width.
So find the area of ABCD first. Then find the area of EFGH.

Answer 4

um..idk how to do that

Answer 5

you don't know how to find the area of a rectangle?
Use this formula:
Area of a rectangle = length * width.
So to find the area of ABCD , we will use this equation:
Area = 18 * 27 = ?

Answer 6

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Answer 7

A = 486

Answer 8

yeppp, so area of ABCD = 486
Now we need to find the area of EFGH :) . So use the same formula:
Area of rectangle = length * width.
[Remember your length = x = 9 and your width = 6]

Therefore,
Area of rectangle EFGH = 9 * 6 = ?

Answer 9

A = 54

Answer 10

great! :D
So now to find the relationship of ABCD to EFGH , we will use a ratio.
We know that the area of ABCD = 486 and the area of EFGH = 54
Therefore we get,

Area of ABCD to Area of EFGH

Which is the same as :
Area of ABCD : Area of EFGH
And we already found out the areas of both rectangles so,
Area of ABCD : Area of EFGH
486 : 54

Now we need to simplify this ratio, so divide both sides by 54.

Answer 11

ok i got 9 again