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bekas [8.4K]
3 years ago
11

Find the correct plugged in formula for each figure.

Mathematics
1 answer:
Mars2501 [29]3 years ago
8 0

Answer:

Area = 40 ( 84)+ 2 *(294)

Step-by-step explanation:

There is only one figure in the attached image and the solution (surface area) is as follows:

The shape can be sub-divided into:

1. Rectangle

Dimension: 40 by 35

2. Rectangle

Dimension: 40 by 28

3. Rectangle

Dimension: 21 by 40

4. 2 triangles

Base: 21 and Height: 28

Calculate area of each and add them up to get the surface area of the figure.

1. Rectangle

Dimension: 40 by 35

A_1 = 40 * 35

2. Rectangle

Dimension: 40 by 28

A_2 = 40 * 28

3. Rectangle

Dimension: 21 by 40

A_3 = 40 * 21

4. 2 triangles

Base: 21 and Height: 28

A_4 = 2 * \frac{1}{2} * 21 * 28

So, the area is:

Area = A_1 +...+A_4

Area = 40 * 35 + 40 * 28 +40 * 21 + 2 * \frac{1}{2} * 21 * 28

Factor out 40

Area = 40 ( 35 +  28 + 21 )+ 2 * \frac{1}{2} * 21 * 28

Area = 40 ( 84)+ 2 * \frac{1}{2} * 21 * 28

Area = 40 ( 84)+ 2 *(294)

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