Question

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 and 1/2 square ft? How do you know? What is the area of the sign?

Answer 1

`Area = 3(15)/(16)\ sq\ ft`

Area is greater than
`3(1)/(2)` sq ft.

Explanation:

Length of rectangular sign board =
`3(1)/(2)` ft

Width of rectangular sign board =
`1(1)/(8)` ft

Area of a rectangle is given by the formula:

`A = Length * Width`

To find the area, we are going to multiply
`3(1)/(2)` with
`1(1)/(8)`.

`1(1)/(8)` is greater than 1.

Therefore the multiplication will be greater than
`3(1)/(2)`.

Hence, we can say that area will be greater than
`3(1)/(2)` sq ft.

Area of the sign:

`A = 3(1)/(2)* 1\frac{1}8\\\Rightarrow A = (7)/(2)* \frac{9}8\\\Rightarrow A = (63)/(16)\\\Rightarrow A = 3(15)/(16)\ sq\ ft`