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

Answer:

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.

$\dfrac{Length}{width}=\dfrac{5}{10}=\dfrac{1}{2}$

Hence, all the ratio's must be $\dfrac{1}{2}$.

so from first entry we have:

 $\dfrac{L}{4}=\dfrac{1}{2}\\\\L=2cm$

Where L denotes the length.

for second entry:

 $\dfrac{3}{W}=\dfrac{1}{2}\\\\W=6cm$

where W denotes the width.

for last entry:

 $\dfrac{7}{W}=\dfrac{1}{2}\\\\W=14cm$

Hence the table could be completed as:

                  Length(cm)                            Width(cm)

                        2                                               4

                        3                                               6

                        5                                              10

                         7                                              14