Using the formula 1/x=1/y-1/z, express x in terms of y and z.
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<u>Given</u>:
Given that the irregular figure is broken into a triangle and a rectangle.
We need to determine the length b, the area of the triangle , the area of the rectangle and the area of the irregular figure.
<u>Length of b:</u>
The length of b , the base of the triangle is given by
Simplifying, we get;
Thus, the length of the base of the triangle is
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
Substituting and
, we get;
Thus, the area of the triangle is 4 square feet.
<u>Area of the rectangle:</u>
The area of the rectangle can be determined using the formula,
where l = 5 ft, , we get;
Thus, the area of the rectangle is
<u>Area of the irregular figure:</u>
The area of the irregular figure can be determined by adding the area of the triangle and the area of the rectangle.
Thus, we have;
Area = Area of the triangle + Area of the rectangle
Substituting the values, we have;
Thus, the area of the irregular figure is 10.667 square feet.
7 + 14 + 21 + ... + 105 =
= 7(1 + 2 + 3 + ... + 15)
= 7(15)(16)/2
= 840