Question

4 Uditi wants to make a shoe tray.
width
The tray will hold rows of shoes.
She wants each row to hold 6 pairs of shoes.
Uditi measures the width of 5 pairs of her shoes.
Here are the results in cm.
18.2 19.7 19.4 18.6 18.9
To find the total width of 6 pairs of shoes Uditi will multiply the median
width of these pairs of shoes by 6
The width of the base of the tray will need to be 10% more than the total width of
6 pairs of shoes and have an extra 3 cm at each end of the tray for a frame.
Uditi draws this diagram of the largest shoe tray she can make with the wood she has.
kai
18cm
93 cm
127 cm
Uditi thinks this tray can hold 6 pairs of her shoes in a row.
Is she correct?
Show why you think this.
(6)

Answer 1

Uditi is not correct because the tray cannot hold at 6 pairs of shoes.

Calculate the size required to hold 6 pairs of shoes:

The first step is to calculate how big the tray must be. To do this, follow these steps:

1. Calculate the average or mean of the width of a pair of shoes.

• 18.2 + 19.7 + 19.4  + 18.6  + 18.9 = 94.8/ 5 = 18.96

2.Find out the total width of 6 pairs:

• 18.96 x 6 = 113.76

3. Add 10%.

• 113.76 / 100 x 10 = 11.376
• 113.76 + 11.376= 125.136

4.Add 3 cm in each side.

• 125.136 + 6 = 131.136

This means 131.136 is the ideal length of the tray based on the width of the shoes, and therefore the model Uditi's drew is not enough to hold 6 pairs of shoes.

Learn more about width in: https://brainly.com/question/26613529