Final answer:
The base of the parallelogram is 15 cm, and the height is 30 cm, based on the area of 450 cm² and the assumption that the height is twice the base.
Step-by-step explanation:
To find the height and the base (referred to as 'space' in the question, which might be a typo) of a parallelogram given its area, we use the formula: area = base × height. Since the question mentions that the area of the parallelogram is 450 cm², we can set up an equation to find both dimensions. However, the question contains a typo referring to 'toys its space', which is likely meant to say 'twice its base'. If we assume that the height is twice the base (h = 2b), we would express the area as 450 cm² = b × (2b).
Let's solve for 'b' (the base) using the following steps:
450 cm² = b × 2b, which simplifies to 450 cm² = 2b².
Divide both sides by 2 to isolate b²: b² = 450 cm² / 2.
Calculate b²: b² = 225 cm².
Find the square root of b²: b = √225 cm².
Therefore, b = 15 cm.
Now that we have the base, we can find the height by doubling it, since h = 2b: h = 2 × 15 cm = 30 cm.
Thus, the base of the parallelogram is 15 cm, and the height is 30 cm.