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 parallelogram is 20 m. Find the length of the corresponding

base of the pparallelogram

Answer 1

Answer:

》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

Answer:

Given area of square and parallelogram are some.

Area of square =S×S

perimeter of square =4×S

160m=4×S

⇒

4

160

=S

∴S=40cm

Area =40×40=1600m

2

∴ Area of square =1600m

2

∴ Area of parallelogram=Base×height

1600=B×20

20

1600

=B

B=80

∴ corresponding base of the parallelogram is 80m.