find the area of the following polygon.
Answers
Answer:
Here is your answer!!
Step-by-step explanation:
1) First break this figure into 2 trapeziums. (join the middle 2 points)
2) Then find the area of the 1st trapezium
AREA = 1/2 * (SUM OF PARALLEL SIDES) * HEIGHT
= 1/2* (5+10)* 6
= 1/2* 90
= 45 cm²
3) Then find the area of the 2nd trapezium
AREA = 1/2* (SUM OF PARALLEL SIDES) * HEIGHT
= 1/2* (6+12) * 5
= 1/2 * 90
= 45 cm²
4) NOW JUST ADD THE 2 AREAS
= 45 + 45
= 90 cm²
THAT'S YOUR ANSWER !!
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Answer: Hey ! Your answers is below.
Step-by-step explanation:
(if u want u can name the given polygon, i'm naming given polygon)
therfore , in given polygon 2 trapeziums are formed when you join point D and point C.
Therefore, area of trapezium ABCD
AREA=½ x (sum of parellel sides )x height
Area= ½ x ( 5+10) x 6
Area = ½ x 15 x 6 ( doing cancellations)
Area= 45 sq.cm
Area of trapezium CDEF
AREA= ½x sum of parellel sides x height
Area= ½ x ( 6+12)x5
Area= ½x 18x5 (doing cancellations)
Area = 45 sq.cm
Therfore , area of polygon ABEF
area of polygon ABEF = area of trapezium ABCD + area of trapezium CDEF
AREA = 45+45 = 90sq.cm
THERFORE , area of polygon is 90 sq.cm.
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