Final answer:
To determine if the mirror will fit in the given space, calculate its height by dividing the area by the width. Check if the calculated length is less than the height of the space, and if so, the mirror will fit.
Step-by-step explanation:
To determine if the mirror will fit in the given space, we need to calculate its height. The area of the rectangular mirror is given as 20 3/17 square feet. The width is 4 3/4 feet. We can find the length of the mirror by dividing the area by the width:
Length = Area / Width
Plugging in the values, we have:
Length = (20 3/17) / (4 3/4)
Converting the mixed numbers to improper fractions:
Length = (341/17) / (19/4)
Dividing fractions by multiplying the reciprocal, we get:
Length = (341/17) * (4/19)
Calculating the fraction multiplication:
Length = 1364/323
Simplifying the fraction:
Length = 4 72/323 feet
The length of the mirror is approximately 4 72/323 feet. Now we check if it will fit within the 5-foot tall space on the wall. Since the length of the mirror is less than 5 feet, it will fit in the given space.