Question

$\text{A tea table is of a rectangle shape as shown.}$ $\text{But the length of its sides has to be decreased}$ $\text{by a factor of}\frac{1}{2}\text{. Find the dimensions of the}$ $\text{rectangular tea table after the decrease.}$

• A. Length = 12.5 ft; Width = 4 ft
• B. Length = 12.5 ft; Width = 3 ft
• C. Length = 50 ft; Width = 16 ft
• D. Length = 12 ft; Width = 3 ft

Answer 1

The correct option is A Length = 12.5 ft; Width = 4 ft

$\text{Given,}$

$\text{Length of the dining table = 25 ft}$

$\text{Width of the dining table = 8 ft}$

$\text{It is given that the tea table is decreased}$
$\text{by a factor of}\frac{1}{2}$.

$\text{It means that the length and width of the}$
$\text{table aredecreased by}\frac{1}{2}$.

$\text{New length of the table}=\text{Length}\times \frac{1}{2}$

$=25\times \frac{1}{2}$

$=12.5$

$\text{New width of the table}=\text{Width}\times \frac{1}{2}$

$=8\times \frac{1}{2}$

$=4$

Hence, the new length and width of the table are 12.5 ft and 4 ft, respectively.