Question

A television that has a square screen is advertised as having a 38-inch
diagonal screen. Which of the following represents the width of the
television to the nearest inch?
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Answer 1

Answer:

The width of the  television is 27 inches

Step-by-step explanation:

we know that

The length of the diagonal in a square is equal to

$d=b\sqrt{2}$

where

b is the length side of the square

we have

$d=38\ in$ ----> given problem

substitute

$38=b\sqrt{2}$

solve for b

$b=\frac{38}{\sqrt{2}}=26.87\ in$

Round to the nearest inch

$b=27\ in$

Remember that in a square the length is equal to the width

therefore

The width of the  television is 27 inches