parallelogram and a triangle have a common base. If area of the triangle is 20cm^2 then find area of a parallelogram (a)20cm^2 (b)40cm^2 (c)10cm^2 (d)400cm^2
Answers
Given : a parallelogram and a triangle have a common base
area of the triangle is 20cm²
To Find : area of parallelogram
(a)20cm^2 (b)40cm^2 (c)10cm^2 (d)400cm^2
Solution:
Area of triangle = (1/2) * base * height
Area of Parallelogram = base * height
parallelogram and a triangle have a common base b = b
and if vertex of triangle lie of opposite side of parallelogram
Then h will also be common
Then Area of Parallelogram = 2 (1/2) * base * height
=> Area of Parallelogram = 2 Area of triangle
=> Area of Parallelogram = 2 * 20
=> Area of Parallelogram = 40 cm²
If third vertex in not on opposite side of parallelogram / or in line of that
then we can not find any relation.
Learn More:
ABCD is a parallelogram in which BC is produced to E such that CE ...
brainly.in/question/15909764
PQRS is a parallelogram. X and Y are mid-points of sides PQ and ...
brainly.in/question/1140947
14. In the parallelogram ABCD, the side AB is producedto X, so that ...
brainly.in/question/13270978
SOLUTION
GIVEN
A parallelogram and a triangle have a common base
Area of the triangle is 20 cm²
TO CHOOSE THE CORRECT OPTION
The area of parallelogram
(a) 20 cm²
(b) 40 cm²
(c) 10 cm²
(d) 400 cm²
EVALUATION
Let b cm be the base of the triangle
Since the parallelogram and the triangle have a common base
So base of the parallelogram = b cm
Let h cm be the height of the triangle
Then altitude of the parallelogram = h cm
Then area of the triangle
So by the given condition
So area of the parallelogram
= bh cm²
= 40 cm²
FINAL ANSWER
Hence the correct option is (b) 40 cm²
━━━━━━━━━━━━━━━━
Learn more from Brainly :-
1. If base radius of a cylinder is doubled then the volume of new cylinder = ______times the volume of given cylinder
https://brainly.in/question/33235561
2. Find the perimeter of triangle chose
side are 48cm, 84 cm 97 cm
https://brainly.in/question/33757537