Question

The large rectangle below was created from the small rectangle using a scale factor of 2.5

Answer 1

Given:

The large rectangle below was created from the small rectangle using a scale factor of 2.5.

Dimensions of small rectangle are 6 cm and 4cm.

To find:

The area of the large rectangle, in square centimeters.

Solution:

If the scale factor is 2.5. So, each side of large rectangle is 2.5 times of corresponding side of small rectangle.

Dimensions of large rectangle are

Length = $6\times 2.5=15\text{ cm}$

Width = $4\times 2.5=10\text{ cm}$

Area of the large rectangle is

$Area=length\times width$

$Area=15\times 10$

$Area=150$

Therefore, the area of the large rectangle is 150 square centimeters. Hence, the correct option is D.