What is the area of the polygon below
2 answers:
Answer:
Option D. 140 unit²
Step-by-step explanation:
In this question area of the polygon ABEHGFA = area of rectangle ABED + area of rectangle DFGH
Now area of rectangle ABED = BE×DE = (17 -11)×(10-5) = 6×5 = 30 unit²
Area of rectangle DFGH = GH×FG = 10×11 = 110 unit²
Total area = 110 + 30 = 140 square unit.
Therefore option D. 140 square unit is the answer.
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Answer:
<em>No, he should have set the sum of ∠AED and ∠DEC equal to 180°, rather then setting ∠AED and ∠DEC equal to each other</em>
Step-by-step explanation:
Find the diagram attached
If line AC and BD intersects, then m<AED + m<DEC = 180 (sum of angle on a straight line is 180 degrees)
Given
m<AED = 16x+8
m<DEC = 76 degrees
16x + 8 + 76 = 180
16x + 84 = 180
16x = 180-84
16x = 96
x = 96/16
x = 6
Hence the value of x is 6
Hence the correct option is <em>No, he should have set the sum of ∠AED and ∠DEC equal to 180°, rather then setting ∠AED and ∠DEC equal to each other</em>
