Please help ASAP 15 points
2 answers:
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Answer:
Check below please
Step-by-step explanation:
A quadrilateral is a polygon with four sides.
Then let's plot it, check it below.
1) Since 5 line segments were given for a quadrilateral, one of them is an interior one. In this quadrilateral, a rhombus. We have a diagonal, id est a line segment between non-consecutive points.
2) Let's calculate the area of this rhombus. Since this polygon is made up of two triangles let's find it using Heron's Formula, not very popular. But equally valid, also we don't have the height nor angles.
All we need is the semi-perimeter, (half of the Perimeter (2P) and plug it in the formula:
3) Well, now we need to trace a triangle whose area is 32.84 cm^2. From the classical formula for Area of Triangles we can write:
Let's find out two values one for the base and another for height. Since 65.58 can be divided both by two and three, it is divisible by 6.
So
Answer:
28 units^2
Step-by-step explanation:
1. First, let's divide this figure into two shapes: a square and a trapezoid. (Look at the image below explanation for division).
2. Next, we should know the area formulas of the square and trapezoid.
- Square:
, where s = side
, where a and b = top and bottom and h = height
3. Solving Area of Square and Trapezoid
. Area of square is 16
. Area of trapezoid is 12.
- 16 + 12 = 28
Therefore, the area of the figure is 28 units^2.
