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Tatiana [17]
3 years ago
6

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

nd 1/2 square ft? How do you know? What is the area of the sign?
Mathematics
1 answer:
zavuch27 [327]3 years ago
8 0

Answer:

Area = 3\dfrac{15}{16}\ sq\ ft

Area is greater than 3\frac{1}{2} sq ft.

Step-by-step explanation:

Length of rectangular sign board = 3\frac{1}{2} ft

Width of rectangular sign board = 1\frac{1}{8} ft

Area of a rectangle is given by the formula:

A = Length \times Width

To find the area, we are going to multiply 3\frac{1}{2} with 1\frac{1}{8}.

1\frac{1}{8} is greater than 1.

Therefore the multiplication will be greater than 3\frac{1}{2}.

Hence, we can say that area will be greater than 3\frac{1}{2} sq ft.

Area of the sign:

A = 3\dfrac{1}{2}\times 1\dfrac{1}8\\\Rightarrow A = \dfrac{7}{2}\times \frac{9}8\\\Rightarrow A = \dfrac{63}{16}\\\Rightarrow A = 3\dfrac{15}{16}\ sq\ ft

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