Gr. 9 math

posted by .

There is one large rectangle ABCD, top line is AD and bottom is BC.

A vertical line is drawn from the top to bottom called GH (between points AD and BC).

A line is drawn from left to right called EF (between points AB and GH).

AEFG is Rectangle 1.
EBHF is Rectangle 2.
GHCD is Rectangle 3.

All three rectangles are similar.

Length of line AE (vertical) is 4cm.
Length of line EB (vertical) is 9cm.

What is the area of rectangle GHCD ?

  • Gr. 9 math -

    I did not answer this question before, because I found it confusing.
    AEFG EBHF are not rectangles

    Is there a point named for the intersection of GH and EF ?
    Check your typing.

  • Gr. 9 math -

    I don't see a problem but I will rewrite the structure.

    Make two rectangles attached together.

    Call the first rectangle ABHG (AG top, BH bottom).

    Call the second rectangle GHCD (HC top, GD bottom).

    Draw a horizontal line from line AB to line GH and name the points E on line AB and F on line GH.

    example:

    A----G-------------D
    |....|.............|
    |....|.............|
    E----F.............|
    |....|.............|
    |....|.............|
    |....|.............|
    |....|.............|
    B----H-------------C

    Rectangles AEFG, EBHF and GHCD are similar.

    The length of AE is 4cm.
    The length of EB is 9cm.

    What is the area of rectangle GHCD ?

  • Gr. 9 math -

    Look at your diagram and trace out
    figure AEFG, it does not form a rectangle.

    the same is true for EBHF.

    Also, it is proper notation to list the order of letters of similar shapes so that line segments correspond.
    e.g.
    If I were to say triangle ABC is similar to triangle PQR
    then, without looking at the diagram, I can tell that
    AB/AC = PQ/PR etc.

    I think we have to call the intersection of EF and GH something like K
    So did you mean rectangle AEKG is similar to rectangle EBHK ?
    How do the sides line up?
    I think it would have to be something like
    AE/EK = EK/EB

  • Gr. 9 math -

    I reposted a better structure at 1:58

    thank you for your help so far.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    Please Help!!!! Find the current in the 10.0 ohm resistor in the drawing (V1 = 21.0 V and R1 = 27.0 ohms). The drawing is in the shape of a rectangle that has one straight line down the center. On the left top line is R1; on the right …
  2. Physics - Repost

    I am reposting the this question. Find the current in the 10.0 ohm resistor in the drawing (V1 = 21.0 V and R1 = 27.0 ohms). The drawing is in the shape of a rectangle that has one straight line down the center. On the left top line …
  3. Geometry

    I've been working forever to figure out this problem! If two flagpoles are 10m and 70m tall and are 100m apart, find the height of the point where a line from the top of the first to the bottom of the second intersects a line from …
  4. math

    There is on large rectangle ABCD, top line is AD and bottom is BC. A line is drawn from the top to bottom called GH. A line is drawn from left to right called EF. AEFG is Rectangle 1. EBHF is Rectangle 2. GHCD is Rectangle 3. All three …
  5. Grade 9 Math

    There is one large rectangle ABCD, top line is AD and bottom is BC. A vertical line is drawn from the top to bottom called GH (between points AD and BC). A line is drawn from left to right called EF (between points AB and GH). AEFG …
  6. Gr. 9 Math (continued)

    I don't see a problem but I will rewrite the structure. Make two rectangles attached together. Call the first rectangle ABHG (AG top, BH bottom). Call the second rectangle GHCD (HC top, GD bottom). Draw a horizontal line from line …
  7. tyndall

    1. In the middle of the page, draw two vertical lines an inch long, an inch apart, and that are parallel to each other. 2. About a half inch below the lines, draw a half-inch horizontal line that is centered between the lines. 3. Draw …
  8. Geometry

    If line AB is perpendicular to line EF, and line CD is perpendicular to EF, then the measure of angle 1=the measure of angle 2. Give an arguement for the statement and a reason for each step. There is also a diagram drawn on my homework …
  9. Math

    We are learning about proofs. We drew lines between noncollinear points. Our table showed 2 points >> 1 line segment, 3 point >> 3 line segments, 4 points >> 6 line segments, 5 points >> 10 line seg, 6 points …
  10. math

    1. In the middle of the page, draw two vertical lines an inch long, an inch apart, and that are parallel to each other. 2. About a half inch below the lines, draw a half-inch horizontal line that is centered between the lines. 3. Draw …

More Similar Questions