Question

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

Answer 1

The height corresponding to the 41.2 m base is 5.9m

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

Answer 2

21.2 meters(m)

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)