in the figure the line CE is parallel BD .area of triangle ABD=30CM^2
area of triangle BDC=29 CM^2 what is the area of quadrilateral ABCD
Answers
Step-by-step explanation:
Given that:
In the figure,the line CE is parallel to BD area of triangle ABD is 30sq.cm and that of BDC is 29sq.cm.
Note*: Question is incomplete.
To find:
What is the area of Quadrilateral ABCD?
What is the area of ∆BED?
What is the area of Quadrilateral ABED?
Solution:
To find the solution of the questions
1)What is the area of Quadrilateral ABCD?
Sol:
Area of Quadrilateral ABCD= ar(∆ABD)+ar(∆BCD)
Area of ∆ ABD=30 cm²
Area of ∆BCD= 29 cm ²
Area of Quadrilateral ABCD= 30+29
Area of Quadrilateral ABCD= 59 cm²
2)What is the area of ∆BED?
Solution: ∆BED and ∆BCD are on the same base and in between the same parallel
[CE||BD] given
Thus,
Area of ∆BCD = Area of ∆BED
Area of ∆BED= 29 cm²
3) What is the area of Quadrilateral ABED?
Solution:
Area of Quadrilateral ABED= ar(∆ABD)+ar(∆BED)
Area of ∆ ABD=30 cm²
Area of ∆BED= 29 cm ²
Area of Quadrilateral ABED= 30+29
Area of Quadrilateral ABED= 59 cm²
Hope it helps you.
Answer:
a) Area of quadrilateral ABCD is area of triangle ABC + 80 of triangle BCP .
Area of triangle ABD is 30 centimetre square.
Area of triangle BCD is 29 centimetre square.
Area of quadrilateral abcd is 30 + 29 .
Area of the Quadrilateral ABCD is = 59 cm²
b) Triangle BED and triangle BCD are on the same base and in between the same parallel.
{CE is parallel to BD} so the area of triangle BCD is equal to area of triangle BED .
Area of triangle BED = 29 cm ²
c) Area of quadrilateral ABED is the area of triangle ABD + the area of triangle BED.
Area of quadrilateral ABED is 30+29.
Area of quadrilateral ABED = 59 cm²
Thankyou
I Hope this answer will help you.................