Find the area of the figure

Question

https://ibb.co/Z1JG6TmB

Answer 1

There are two critical pieces of information missing here:

1 - Information on the rectangle with the short side = 3 is missing. So we cannot calculate the area of that rectangle.

2 - Also, in the trapezoid in the middle, its height (perpendicular to the parallel bases 7cm and 5 cm) is not provided. This height will be shorter than 15 cm. Therefore, the area of that trapezoid also cannot be calculated.

Other than that, the area of the remaining shapes are as follows:

1 - Area of square with side 7cm: S1 = 7 x 7 = 49

2 - Area of triangle with height 4 cm: S2 = 1/2 x 7 x 4 = 14

3 - Area of triangle with height 6 cm: S3 = 1/2 x 15 x 6 = 45

4 - Area of square with side 5 cm: S4 = 5 x 5 = 25

So based on what is known, partial area (S) can be calculated as:

S = S1 + S2 + S3 + S4 = 49 + 14 + 45 + 25 = 133

Answer 2

You do not have any height measurement on the right-most rectangle. Therefore, it's area cannot be found. Also, I cannot read the height on the rectangle with a base of 5 cm, but I'll use 7 cm, since it's the height of the piece adjacent to it. Also, although I should never do this, I am going to assume right angles.

However, the others can:

1. Square on left: A=s², so A=7²=49 cm²
2. Triangle 1 (below the square): A=1/2 bh, so A=1/2(7)(4)=14 cm²
3. Rectangle 1 (adjacent to square): A = bh, so A = (15)(7) = 105 cm²
4. Triangle 2 (above rectangle): A=1/2 bh, so A=1/2(15)(6)=45 cm²
5. Rectangle 2 (to the right of Rectangle 1): A = bh, so A = (5)(7) = 35 cm²
6. Rectangle 3 (to the right of Rectangle 2): A = bh, so A = (3)(?)

For the total area, just add all the component areas together.

Answer 3

There is not enough information here to solve the problem without making some assumptions:

Assumption 1: The triangles are isosceles.

Assumption 2: The right side rectangle sticks up 3 cm on the lower and upper ends.

Just break this shape into 4 rectangles and 2 triangles. Use the Pythagorean Theorem to find the hypotenuse (which is the slant length).

A_triangle = (1/2)(b)(h)

A_rectangle = (L)(W)