A parallelogram has sides measuring 21.8 m and 41.2 m. The height corresponding to the 21.8 is 11.2 m. Find the height, to the nearest tenth of a meter, corresponding to the 41.2 m base

21.2 meters (m)

Step-by-step explanation:

If the side of a parallelogram 21.8 m = height 11.2m

The side of parallelogram 41.2 m = height?

We would cross multiply

That would give us

(41.2m * 11.2m) : 21.8m

= 21.166972477m

Approximately to the nearest tenth of a meter = 21.2meters (m)

Therefore, the height, corresponding to the side of the parallelogram 41.2m to the nearest tenth is 21.2meters (m)

The height corresponding to the 41.2 m base is 5.9m

Step-by-step explanation:

Let Base of the parallelogram (b) = 21.8m

Base of the parallelogram (B) = 41.2 m.

Height corresponding to base 21.8m = h = 11.2 m

Height corresponding to base 41.2m = H = ?

Area of parallelogram = Base * Height

B*H = b*h

41.2 * H = 21.8*11.2

H = (21.8*11.2) / 41.2

H = 244.16/41.2

H = 5.9m

The height corresponding to the 41.2 m base is 5.9m