the area of a rectangular mirror is 11 11/16 square feet. The width of te mirror is 2 3/4 feet. if there is a 5 foot tall space on the wall to hang the mirror, will it fit? Explain



Answer :

Area = 11 11/16 = 11.6875
Width 2 3/4 = 2.75

Area = width * height
11.6875 = 2.75 * height
height = 11.6875 / 2.75
          = 4.25

4.25 feet is less than the 5 foot space. Therefore, there is enough space on the wall to hang it.

The length of the rectangular mirror is less than 5 foot tall space on the wall, therefore the mirror will fit.

Area of the rectangular mirror is expressed according to the formula:

A = lw

l is the length

w is the width

Given the following expressions:

width = 2 3/4 feet

Area = 11 11/16 square feet

Get the length of the rectangle

l = A/w

l =  11 11/16 ÷ 2 3/4

l = 187/16 ÷ 11/4

l = 187/16 * 4/11

l = 17/4

l = 4.25 feet

Since the length of the rectangular mirror is less than 5 foot tall space on the wall, therefore the mirror will fit.

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