Question

The large rectangle below was created from the small rectangle using a scale factor of 2.5
6 cm
4 cm
What is the area of the large rectangle, in square centimeters?
А 26.5
В. 55.25
С. 60
D. 150

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.

Answer 2

The area of a rectangle is the product of its side lengths

The area of the large rectangle is (d) 150

The dimensions of the small rectangle are:

$\mathbf{L =6cm}$

$\mathbf{W =4cm}$

The scale factor is 2.5.

So, the dimensions of the large rectangle are:

$\mathbf{L = 6cm \times 2.5 =15cm}$

$\mathbf{W = 4cm \times 2.5 =10cm}$

The area is then calculated as:

$\mathbf{A = L \times W}$

So, we have:

$\mathbf{A = 15cm \times 10cm}$

$\mathbf{A = 150cm^2}$

Hence, the area of the large rectangle is (d) 150

Read more about areas at:

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