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padilas [110]
3 years ago
8

Find the area of the shape shown below.

Mathematics
2 answers:
vlabodo [156]3 years ago
8 0

Answer:

6cm^{2} (assuming the units is in centimetres)

Step-by-step explanation:

Hi, hope this helps!

Method 1:

Calculate this shape as a trapezium. This is a trapezium because it has one pair of parallel sides. The way to calculate the area of a trapezium is this:

- Half the sum of the parallel sides

- Multiply the perpendicular height between them

In this case, 4 and 2 are parallel, so we add them together (4 + 2 = 6) then we divide by two (6 ÷ 2 = 3). Then we multiply our answer by the perpendicular length between the two parallel sides (assuming the side on the left is at a right-angle, 3 x 2 = 6).

Method 2:

Calculate this shape as a rectangle + a triangle. If you split the shape so the pointy bit on the right becomes a triangle and the left becomes a square, you can calculate the area without knowing the formula for calculating a trapezium (see above ^).

- Area of the square / rectangle = length x width = 2 x 2 = 4

- Area of the triangle = 1/2 x length x width = 2 x 2 x 1/2 = 4 x 1/2 = 4 ÷ 2 = 2

Then we add the two areas together (4 + 2 = 6).

I hope this helped and I wasn't waffling on :)

Bluey

earnstyle [38]3 years ago
7 0

Answer:6

Step-by-step explanation:

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Answer:

While I will not give you an answer, I will tell you how to find it. Don't get scared! I promise it's not complicated. You basically only need to do subtraction.

Concept Explanation:

Okay, so let's start off by defining "complement" and "supplement":

"Complement" - <em><u>complementary angles</u></em>: two angles whose sum equals 90°

"Supplement" - <u><em>supplementary angles</em></u>: two angles whose sum equals 180°

So, this question is asking you what the <u>other angle</u> is. Based on whether they ask you for the <em>complement</em> or <em>supplement</em>, you only need to subtract the first angle they give you from 90° (if it's asking for the complement) or 180° (if it's asking you for the supplement).

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- What is the complement of a 32° angle?

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Since they're asking for the <u>complement</u>, we will subtract 32° (the angle they give us) from 90° (because it's a <u>complement</u>)

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So our answer is: <u>58°</u>

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Now let's do a supplement one.

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- What is the supplement of an 84° angle?

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Because they're asking for the <u>supplement</u>, we will subtract 84° (the angle they give us) from 180° (because it's a <u>supplement</u>)

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Then our answer will be: <u>96°</u>

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That's all! It's just some subtraction once you know what the vocabulary means. Please comment if you have any other questions.

If you want me to check your answers once you try your problem, I can do that as well!

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