Question

Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths

Answer 1

The first is 2, the second is 6 and the third is 14.

Answer 2

Since we are given that the ratio are equivalent of the length and width so we will complete our table as follows:

Length(cm) Width(cm)

- 4

3 -

5 10

7 -

Since we are given 3 blanks and only ratio could be depicted from the third entry.

`(Length)/(width)=(5)/(10)=(1)/(2)`

Hence, all the ratio's must be
`(1)/(2)`.

so from first entry we have:

`(L)/(4)=(1)/(2)\\\\L=2cm`

Where L denotes the length.

for second entry:

`(3)/(W)=(1)/(2)\\\\W=6cm`

where W denotes the width.

for last entry:

`(7)/(W)=(1)/(2)\\\\W=14cm`

Hence the table could be completed as:

Length(cm) Width(cm)

2 4

3 6

5 10

7 14