The area of the shaded part of the figure below can be determined in different ways. Use
2 answers:
The figure can be decomposed into four rectangles of the figure can be decomposed into four trapezoids with a height of 3 in. and a base of 2 in. and 5 in. The area of the shaded region is 21 square in.
<h3>What is a rectangle?</h3>It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
The area of the shaded part of the figure below can be determined in different ways.
Then the figure can be decomposed into four rectangles of the figure can be decomposed into four trapezoids with a height of 3 in. and a base of 2 in. and 5 in.
Then the area of the shaded region will be
More about the rectangle link is given below.
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Given:
ABCD is a quadrilateral
AC = 12, DE = 4 and FB = 5
To find:
The area of the polygon.
Solution:
AC bisects the quadrilateral into two triangles.
Area of triangle:
<u>Area of triangle DAC:</u>
Area of triangle DAC = 24 square units.
<u>Area of triangle BAC:</u>
Area of triangle BAC = 30 square units.
Area of polygon = Area of triangle DAC + Area of triangle BAC
= 24 square units + 30 square units
= 54 square units
The area of the polygon is 54 square units.