Answer:
B. A mosaic has an area of \frac{3}{4} square foot and a width of \frac{1}{5} foot. What is the length of the mosaic?
Step-by-step explanation:
Mathematic representation of a story
Real-life problems involving calculations usually come as stories. The mathematician must be able to represent them in the mathematics language to solve them.
This is an unusual case where the maths are given, and we must find the equivalent story that generated it.
Recall the area of a rectangular shape of length L and width W is:
A = L*W
If we had the area and wanted to calculate the width or the length, we can solve for the required variable as follows:
[tex]\displaystyle L=\frac{A}{W}[/tex]
[tex]\displaystyle W=\frac{A}{L}[/tex]
We are given the division:
[tex]\displaystyle \frac{3}{4}\div \frac{1}{5}[/tex]
can be the calculation of any of the above-mentioned situations.
Note that in both cases, the area is the dividend or the numerator of the fraction. This leads to preselect only the options that provide an area of 3/4 as part of the data.
Only option B. uses 3/4 as the area of the rectangular shape. As 1/5 is the other dimension of the rectangle, this is the correct answer.
B. A mosaic has an area of \frac{3}{4} square foot and a width of \frac{1}{5} foot. What is the length of the mosaic?
