Question

the area of a parallelogram and a square are the same the perimeter of the square is 84 cm and the base of the parallelogram is 7 cm find the height of the parallelogram​

Answer 1

Answer: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.