the area of a parallelogram is 98 cm square. if one altitude is half the corresponding base, determine the base and the altitude of the parallelogram
Answers
base=7 m
The area of parallelogram is 98 cm square. If one of the altitude is half of the corresponding base, determine the base and altitude of the parallelogram.
Area of the parallelogram = 98 sq. cm
If we let the base to be equal to b, and the corresponding height to be equal to h, it's given that :-
Now, we know that, the area of any parallelogram is :-
Area of a parallelogram = Base × Height = b × h
Put the values in the formula, and then, simply solve it, you will get your answer :-
=》
Put the value of h, we obtained from the above discussion:-
=》
Take 2 on the L.H.S. and then solve it:-
=》
Multiply 196 by 2 and then find the value of b :-
=》
Do square root and then find the value of b :-
=》
The value of b is:-
=》
Thus, the base is = 14 cm
Height of the parallelogram =
Height =
Height of the parallelogram =
We found that :-
Base = 14 cm
Height = 7 cm