a shape ABCDE is made up of an isosceles triangle and a rectangle. The perimeter of ABCDE is 46cm.

What is the length of AB?

You keep posting this same stupid problem without enough description to pin it down.

AB can be almost any length, depending on the shape of the figure.

If the rectangle is ABCD, and the triangle has base CD and vertex E, then still all we know is that

AB + 2*AD + 2*DE = 46

Of course, the shape might not look like that, so there are lots of other possibilities.

So STOP posting this problem until you are willing provide enough information to allow for a solution!!!!

for a teacher you have a bad attitude. FIX IT!!!!!!!

Joshua: It is a stupid worded problem. There is no indication of what the figure looks like. A sketch would help, however it is not there. It is not rational to keep posting it when it cannot be solved without adequate info. Volunteers who answer these are not inclined to waste their time. I looked at it a couple of days ago and skipped over it thinking it was a hoax post, as it had no possible solution. Maybe I have a bad attitude also,

I also have seen this question now for the third time. I also keep ignoring it since it can't be answered with the information given.

Include me in the "bad attitude" category.

this is Joshua's mommy i do apologise. It was my mistake.

To find the length of AB, we need to have some information about the isosceles triangle and the rectangle.

Let's assume the length of the rectangle is 'l' and the width of the rectangle is 'w'. Additionally, let's assume the two congruent sides of the isosceles triangle are 'x' each, and the base of the isosceles triangle is 'h'.

Since the perimeter of the shape ABCDE is given as 46cm, we can form an equation using the lengths of all the sides of the shape:

Perimeter = Length of Rectangle + Sum of the sides of the Isosceles Triangle

46cm = 2l + x + x + h + w

In an isosceles triangle, the two congruent sides are equal in length. So, x = x.

Now, we can simplify the equation:

46cm = 2l + 2x + h + w

We can see that the length of AB is equal to 'x', which is also the length of the congruent sides of the isosceles triangle.

Therefore, to find the length of AB, we need to solve the above equation for 'x'. Since we do not have any specific values for l, w, or h, we cannot obtain a specific length for AB. To find the length of AB, we need more information or specific values for the dimensions of the rectangle and the isosceles triangle.