the area of the parallelogram and square are the same .the perimeter of a square is 84 cm and the base of the parallelogram is 7cm , find the height of the parallelogram
Answers
ATQ,
Area of the ||gm = area of the square
Given perimeter of the square = 84cm
We know that,
Side × 4 = perimeter of a square
➡ side × 4 = 84cm
➡ side = 84/4
➡ side = 21cm
Therefore it's area = side²
= 21 × 21
= 441cm²
Since area of the ||gm = area of the square.
i.e Area of the ||gm = 441cm²
Given it's base = 7cm
We know that,
Base × Height = area of a ||gm
➡ 7 × Height = 441cm²
➡ Height = 441/7
➡ Height = 63cm
Hence, the height of the parallelogram is 63cm.
Answer :
63
Step-by-step explanation:
area of parallelogram =area of square
perimeter of square =84
4s=84
s=21
area of square =21x21
=441
area of parallelogram =bh
441. =7xh
441
h. =------------------
7
h=63