Question

the area of a parallelogram and a square are the same. If the perimeter of a square is 160m and the height of the parallelogram is 20 m,find the length of the corresponding base of the parallelogram.

Answer 1

Answer:

Step-by-step explanation:

Perimeter of sq.= 4 * side

160 = 4*side

Side = 160/4

Side= 40 m

Area of square= area of parallelogram. (Given)

So,

Area of square= Side²

Area of square = 40m*40m

=1600m²

Area of parallelogram= Base * height

1600m². =base* 20

Base. = 1600 m² / 20 m

Base. = 80 m.

Answer is 80 m.

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Perimeter of square=4*side

160=4*side

side=160/4

side=40m

area of sq.=area of parallelogram,

So,

Area of sq.=side²

Area of sq.=40²

=1600m²

now,

area of parallelogram=Base*height

1600=base*20

1600/20=base

80=base.

hence the base=80m..

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