rectangle FGHK

The length of FH is 9 cm. What is the length of GK?

C is the center of the rectangle

4 is the height

4.5 measure from F to C

4.5 from H to C

The definition of a rectangle is....."a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square."

Your question asked for the length of GK. Do you need the area as well ? (bxh)/2

So the length of GK would also be 9?

The area is (bxh)/2

If the hypotenuse is 9 and one leg of the triangle is 4 then by the Pythagorean Theorem the other leg is 8.0622.
How did you get 8.24621?

Is the area incorrect?

To find the length of GK, we can use the information given about the rectangle FGHK and its center, C.

First, let's visualize the rectangle FGHK:

F __________ G
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|________________|

From the information given, we know that the length of FH is 9 cm and that C is the center of the rectangle. We are also given that the height of the rectangle is 4 cm. Additionally, the distances from F to C and from H to C are both 4.5 cm.

Since the center of the rectangle, C, bisects both FH and GK vertically, and FH is already given as 9 cm, we can determine that GC is also 9 cm.

Next, we can calculate the length of GK by using the given information about the rectangle's height and the distances from F to C and from H to C.

To find GK, we need to subtract the distances from F to C and from H to C from the length of FH.

GK = FH - (FC + HC)

Since the distances from F to C and from H to C are both 4.5 cm, we can substitute these values into the equation:

GK = 9 cm - (4.5 cm + 4.5 cm)

Simplifying the equation:

GK = 9 cm - 9 cm

GK = 0 cm

Therefore, the length of GK is 0 cm.

I think the area is: 8.24621