Answer:
Height of the mirror = 16.36 inches which is greater than the space.
Explanation:
To determine if the mirror will fit in a space that is 15 inches by 16 inches, we need to first calculate the height of the mirror.
We know that the area of the mirror is 225 square inches, and we can use the formula for the area of a rectangle to find the height:
Area = width x height
225 = 13 3/4 x height
To solve for the height, we need to convert the width to a fraction with a common denominator:
13 3/4 = (4 x 13 + 3) / 4 = 55/4
225 = 55/4 x height
height = 225 x 4 / 55
height = 16.36 inches (rounded to two decimal places)
Therefore, the height of the mirror is approximately 16.36 inches.
Since the height of the mirror is greater than the height of the space (16 inches), the mirror will not fit in the space that is 15 inches by 16 inches.