Question

the figure is made of 5 identcal squares and 2 identical rectangles

Answer 1

I don’t see the figure — can you upload it or describe how the pieces touch and what you need to find (areas, side lengths, perimeter, prove it tiles a rectangle, etc.)?

A few general facts that may help right away:

- If each square has side s, each square area = s^2, so 5 squares have area 5s^2.
- If each identical rectangle has sides a and b, each rectangle area = ab, so 2 rectangles have area 2ab.
- Total area of the whole figure = 5s^2 + 2ab.

Common useful special cases
- If each rectangle is made from two of the squares (i.e. a = s and b = 2s), then ab = 2s^2 and total area = 5s^2 + 2·2s^2 = 9s^2. That can tile a 3s × 3s square (3×3 grid of unit squares).
- If rectangles have one side equal to s (a = s, b = k·s), total area = s^2(5 + 2k). Use that to match a target area or to solve for k if the overall bounding rectangle dimensions are known.

If you tell me the exact arrangement or what you’re asked to find, I’ll compute the needed lengths, areas, or show a tiling/tileness proof.