Question

Help me with this
Please

Answer 1

Answer: about 147 m²

Explanation:

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Answer 2

146.96
`m^2`

Explanation:

1. Approach

Divide this figure into two smaller shapes. Calculate the area of these smaller shapes, and then add the results. One can divide this shape into a semi-circle, and a triangle.

2. Area of the triangle

The formula to find the area of a triangle is;

`(base*height)/(2)`

It is given that the base of the triangle is (14m) and the height is (10m). Substitute in these values, and solve for the area,

`(14*10)/(2)\\= (140)/(2)\\= 70`

2. Area of the semi-circle

The area of the semi-circle can be found by finding the area of the larger circle, and then divide it by 2, since a semi-circle is half of a circle. The formula for the area of a semi-circle is;

`((pi)(r^2))/(2)`

Where (pi) is the constant (3.1415...), (r) represents the radius of the circle, which by definition is half of the diameter. Substitute in the values and solve;

`((pi)(7)^2)/(2)\\= (3.14*49)/(2)\\=76.96`

3. Find the total area;

Now add up the two values for the area of the figures;

Triangle + Semi-circle

= 70 + 76.96

= 146.96