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Airida [17]
2 years ago
15

What will be the area of the given shape? (please help)

Mathematics
2 answers:
vredina [299]2 years ago
8 0

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{620 units squared}

-------------------------------------------------------------------------------------------------------------

Given: \textsf{Side lengths = 10, 12, 14, 14, 10, 12}

Find: \textsf{The area of the shape}

Solution:  We need to split this shape into several different rectangles and once we find the area for each individual one we can combine them to get the total area.

<u>Determine the area of the rectangle going down</u>

  • A_{vertical}\textsf{ = l * w}
  • A_{vertical}\textsf{ = 10 * (12 + 10 + 12)}
  • A_{vertical}\textsf{ = 10 * 34}
  • A_{vertical}\textsf{ = 340}

<u>Determine the area of the left rectangle</u>

  • A_{left}\textsf{ = l * w}
  • A_{left}\textsf{ = 14 * 10}
  • A_{left}\textsf{ = 140}

<u>Determine the area of the right rectangle</u>

  • A_{right}\textsf{ = l * w}
  • A_{right}\textsf{ = 14 * 10}
  • A_{right}\textsf{ = 140}

<u>Determine the total area</u>

  • A_{total} = A_{vertical} + A_{left} + A_{right}
  • A_{total}\textsf{ = 340 + 140 + 140}
  • A_{total}\textsf{ = 620}

Therefore, the total area of the given shape would be 620 units squared.

Leni [432]2 years ago
6 0

Answer:

620

Step-by-step explanation:

To find the area of strangely-shaped structures, like this one, it is easiest if we cut the shape into smaller, more recognizable, shapes..

We can first cut off the top/center rectangle of this shape , which has a width of 10, and a length of 12. The "area" is length × width.

So, we multiply 12 × 10 to find the area of this section.

12 × 10 = 120

if we look at the bottom half, we can see that there is an identical rectangle (because it has the same width of 10 and length of 12) ! So, we can simply add 120 to our total twice to count both of these areas.

(when putting areas of multiple portions together, we add--not multiply)

  120 (first/top rectangle)

+ 120 (lower rectangle)

_______________

   240

So, our area so far is 240.

Now, we need to find the horizontal (left-right) section of this shape.

We can see that it has a width of 10 (look at the right end), and a length of 38      14 + 10 + 14 (38 total)

So, to find the area of this portion, we will multiply its length × width, which we know is: 38 × 10

38 × 10 = 380.

So, we can now add our areas together:

  240

+ 380

__________

  620

So, our area of this shape is 620

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