Question

The area of a parallelogram and a square are the same. If the perimeter of the square is 160 m and the height of the of the parallelogram is 12 cm,find the length if the corresponding base of the parallelogram.

Answer 1

Perimeter of square=4a (a=side)

160m=4a

a=160/4

a=40m

Area of square=a^2

=40^2

=1600m^2

But area of square=

area of parallelogram

Area of parallelogram=b*h

1600m^2=b*12cm

1600m^2=b*0.12m

b=1600m^2/0.12m

b=13.334m

Answer=13.334m