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Ivahew [28]
3 years ago
14

a rectangular sign has a length of 3 and 1/2 ft and width of 1 and 1/8 ft will the area of the sign be greater or less than 3 an

d 1/2 ft, how do you know? What is the area of the sign?
Mathematics
2 answers:
svetoff [14.1K]3 years ago
8 0

Answer:

The area is 3.9375 cubic ft, so yes, the area will greater than 3 and 1/2 ft.

Hope this helps:)

Step-by-step explanation:

nikklg [1K]3 years ago
3 0

Length of a rectangular sign :-

= 3 \frac{1}{2}  \: \:  m

Width of a rectangular sign :-

= 1 \frac{1}{8}  \:  \: m

<h3>We know that :-</h3>

The formula for finding the area of a rectangle is :-

=\bold{ length \times breadth}

<h3>Which means :-</h3>

The area of the rectangular sign:-

=3  \frac{1}{2}  \times 1 \frac{1}{8}

=  \frac{(2 \times 3 )+ 1}{2}  \times  \frac{(8 \times 1) + 1}{8}

=  \frac{6 + 1}{2}  \times  \frac{8 + 1}{8}

=  \frac{7}{2}  \times  \frac{9}{8}

=  \frac{7 \times 9}{2 \times 8}

=  \frac{63}{16}

={3 \frac{15}{6}  \:  \: }

= 3 \frac{15 \div 3}{6 \div 3}

={ 3 \frac{5}{2}  \: m}

Thus, the area of the rectangular sign is:-

=\bold{ 3 \frac{5}{2}  \: m}

<h3>We can see that :- </h3>

\bold{3 \frac{5}{2}   \: > 3 \: \frac{1}{2}  \: }

Which will mean that the area of the rectangular sign is greater than { 3 \frac{1}{2}  \: m}.

Therefore, the area of the rectangular sign is = \bold{ 3 \frac{5}{2}  \: m} and it is greater than \bold{ 3 \frac{1}{2}  \: m} .

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