A rectangular rug is 12.5 feet long and 10 feet wide. the rug needs to be reduced by a factor of one-fifth. what is the area of the reduced rug? 5 square feet 25 square feet 50 square feet 100 square feet

Respuesta :

The area of a rectangle is the product of its length and width. The area of the rug when reduced by one-fifth is 5 ft².

What is the area of the rectangle?

The area of a rectangle is the product of its length and width. It is written as,

[tex]\rm \text{Area of rectangle} = Length \times Width[/tex]

As we need to reduce the rug by one-fifth, therefore, we will need to reduce the dimensions of the rug by one-fifth, because the scale factor is always applicable to the dimensions. Therefore, the dimensions of the rug are,

[tex]\rm Length_{new} = 12.5 \times \dfrac{1}{5} = 2.5\ ft[/tex]

[tex]\rm Width_{new} = 10 \times \dfrac{1}{5} = 2\ ft[/tex]

Thus, the area of the rug when reduced by one-fifth can be written as,

[tex]\rm \text{Area of rectangle} = Length \times Width[/tex]

                            [tex]= 2.5 \times 2 \\\\= 5\rm\ ft^2[/tex]

Hence, the area of the rug when reduced by one-fifth is 5 ft².

Learn more about Area of the Rectangle:

https://brainly.com/question/14383947

wsg72

Answer:

5 Feet-

Step-by-step explanation:

ACCESS MORE
EDU ACCESS