Question

the area of parallelogram and the square of the same is the perimeter of square is 16 cm and the height of a parallelogram is 20 find the length of the corresponding base of the parallelogram​

Answer 1

Answer:

Corresponding base of the parallelogram is 0.8 cm.

Step-by-step explanation:

Let the side of square be x cm.

According to the question

Perimeter of square = 16 cm

4 × side = 16 cm

4 × x = 16 cm

× = 16/4 cm

x = 4 cm

Then, side of a square is 4cm

$area \: of \: square \: = {side}^{2}$

Area of square = (x)^2

Area of square = 4cm × 4cm

Area of square = 16 cm^2

Given,

Area of parallelogram = Area of square

Base × Height =16 cm^2

Base × 20 cm = 16 cm^2

Base = 16 cm^2/ 20cm

Base = 0.8 cm

Base of parallelogram is 0.8 cm.