NO. The mirror will not fit in a space that is 15 inches by 16 inches
Solution:
Given that area of mirror is 225 square inches
[tex]width = 13\frac{3}{4} \text{ inches }[/tex]
Converting the above mixed fraction we get,
[tex]width = 13\frac{3}{4} = \frac{13 \times 4 + 3}{4} = \frac{55}{4} \text{ inches }[/tex]
Let us find the length of mirror
The area of mirror is given as:
area of mirror = length x width
Substituting the given values,
[tex]225 = length \times \frac{55}{4}\\\\length = 225 \times \frac{4}{55}\\\\length = 225 \times 0.0727\\\\length = 16.36[/tex]
Thus length of mirror is 16.36 inches
Will the mirror fit in a space that is 15 inches by 16 inches?
NO. The mirror will not fit in a space that is 15 inches by 16 inches
Because length of mirror is 16.36 inches whereas the given space is 15 inches long
16.36 > 15 so the length of mirror will not fit inside the space
Also width of mirror is [tex]\frac{55}{4} = 13.75[/tex] inches which is less than the given space whose width is 16 inches
13.75 < 16 so the width of mirror will not fit inside the space
