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adoni [48]
3 years ago
13

The area of a mirror is 225 Square inches, it's width is

Mathematics
1 answer:
Zepler [3.9K]3 years ago
7 0

NO. The mirror will not fit in a space that is 15 inches by 16 inches

<em><u>Solution:</u></em>

Given that area of mirror is 225 square inches

width = 13\frac{3}{4} \text{ inches }

Converting the above mixed fraction we get,

width = 13\frac{3}{4} = \frac{13 \times 4 + 3}{4} = \frac{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 \times \frac{55}{4}\\\\length = 225 \times \frac{4}{55}\\\\length = 225 \times 0.0727\\\\length = 16.36

Thus length of mirror is 16.36 inches

<em><u>Will the mirror fit in a space that is 15 inches by 16 inches?</u></em>

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 \frac{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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