1 Answer

Orisi · Answer 1 · 2021-06-13T15:55:17+0000

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

$width = 13(3)/(4) \text{ inches }$

Converting the above mixed fraction we get,

$width = 13(3)/(4) = (13 * 4 + 3)/(4) = (55)/(4) \text{ inches }$

Let us find the length of mirror

The area of mirror is given as:

area of mirror = length x width

Substituting the given values,

$225 = length * (55)/(4)\\\\length = 225 * (4)/(55)\\\\length = 225 * 0.0727\\\\length = 16.36$

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
(55)/(4) = 13.75 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

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