Question

$\text{A dining table top is in rectangle shape as shown.}$
$\text{We want to increase it's side lengths by a factor}$
$\text{of 2}\frac{1}{2}\text{. Find the dimensions of the table after the}$
$\text{increase.}$

• A. Length = 65 ft; Width = 20 ft
• B. Length = 62.5 ft; Width = 20 ft
• C. Length = 65 ft; Width = 25 ft
• D. Length = 62.5 ft; Width = 25 ft

Answer 1

The correct option is B Length = 62.5 ft; Width = 20 ft

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

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

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

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

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

$=\frac{5}{2}\times 25$

$=62.5$ ft

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

$=\frac{5}{2}\times 8$

$=20$ ft

$\text{Hence, the new length and width of the table}$ $\text{are 62.5 ft and 20 ft, respectively}$.