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Q: How do you draw all possible distinct area models for 49?
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Is it possible to draw a figure with the area of 18 and perimeter of 28?

Yes.


Is it possible to draw a figure with the area of 14 and perimeter of 18?

Yes, draw a 2 x 7 rectangle.


How do you draw all possible distinct area models to represent factors of 120?

The task, as described, is extremely difficult since there may be area models for more than two factors at a time. However, taking only rectangular areas and so only 2 factors at a time: Find the smallest factor of 120 = B1. Let L1 = 120/B1. Draw a rectangle with length = L1 units and breadth = B1 units. Find the next larger factor of 120, B2. Let L2 = 120/B2. If L2 ≤ B2 then stop. Otherwise draw a rectangle with length = L2 units and breadth = B2 units. Do the next smallest factor, and so on.


Draw a rectangle with perimeter 30 cm and the least possible area?

If we restrict ourselves to whole numbers, then 1 x 14 will have the least possible area.


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Is it possible to draw a triangle with 150 20 and 20?

is it possible to draw a triangle with angles 150 20 and 20°


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Draw a rectangle with perimeter 20 cm and the least possible area?

Assuming no fractional dimensions, least possible area would be a rectangle measuring 1cm x 9cm. Area increases to a maximum of 25 sq cm when shape is square, ie 5cm x 5cm.