A rectangle on a coordinate plane has a length of 5 units and a width of 3 units. If the rectangle is dilated by the a scale factor of 5, what is its new area?

1 answer

The area of the original rectangle is $5\times 3 = 15$ square units. When the rectangle is dilated by a scale factor of 5, each dimension of the rectangle is multiplied by 5. So the new length and width are $5\times 5 = 25$ units and $3\times 5 = 15$ units, respectively. Therefore, the new area is $25\times 15 = \boxed{375}$ square units.