Question

A square ground has a side length of 6 miles. If the sides are increased by 2 miles, how much will the area increase?

• A. $64\text{sq mi}$
• B. $36\text{sq mi}$
• C. $100\text{sq mi}$
• D. $28\text{sq mi}$

Answer 1

The correct option is D $28\text{sq mi}$

The square park has a side length = 6 mi
Area of the park
$=\text{Side}\times \text{Side}$
$=\text{6}\times \text{6}\text{sq mi}$
$=36\text{sq mi}$

Now, the side length is increased by 2 mi.
Hence, the new side length of the park will be
$=6+2mi$
$=8mi$

Hence,
New area of the park
$=\text{Side}\times \text{Side}$
$=\text{8}\times \text{8}\text{sq mi}$
$=64\text{sq mi}$

Difference of the areas
= New area of the park – Initial area of the park
$=64-36\text{sq mi}$
$=28\text{sq mi}$