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41 votes
PLS HELP ME I AM GIVING 35 POINTS questions in the image pls help so the there are 3 questions pls help the answer to the first one is 156.25cm the second is 221.76cm the thrid one answer is 65.51cm I have provided the answers pls explain how the answers came and the formula to all three questions.

PLS HELP ME I AM GIVING 35 POINTS questions in the image pls help so the there are-example-1
User Peter Hollingsworth
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3.1k points

2 Answers

18 votes
18 votes
first one is correct

User Hoa Hoang
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2.3k points
13 votes
13 votes

Answer:

a) 156.25 cm^2 b) 221.67 cm^2 c) 65.42 cm^2

Explanation:

a)

We know that the formula for the area of a quadrilateral is Length x Height (A = LH).

Since the length and height of a square is the same, L = 12.5cm and H = 12.5cm.

So we incorporate our formula for the area of a square into this situation:

A = 12.5 x 12.5

A = 156.25 cm^2

b)

We know that the formula for the area of a circle is Pi x radius squared (A = πr^2).

Since we know that the diameter of the circle is 16.8cm, we will use this to find the radius.

Radius can be found by halving the diameter (r = d/2).

So we incorporate our formula for radius into this situation:

r = 16.8/2

r = 8.4cm

Now that we have our radius, we can find the area of our circle.

So we incorporate our formula for the area of a circle into this situation:

A = π(8.4)^2

A = 221.6707776 = 221.67 cm^2

c)

We can see from the diagram that the shaded portion come mainly from the circle. So to find the area of the shaded part, we can simply subtract the area of the square, from the area of the circle (A of circle - A of square = Area of shaded part).

So we incorporate our formula for the area of the shaded part into this situation:

A = 221.67 cm^2 - 156.25 cm^2

A = 65.42 cm^2

User Neil Baldwin
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3.5k points