tippytoetuesday
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PLEASE HELP!!!!
A rectangle has a width of 8 m and a length of 7 m.

How does the area change when each dimension is multiplied by 5?


The area is increased by a factor of 5.

The area is increased by a factor of 10.

The area is increased by a factor of 25.

The area is increased by a factor of 50.

Respuesta :

helpfulish
Consider what the area is when a rectangle has a width of 8m and a length of 7m. The area is 8m x 7m, or 56m^2.

Now, multiple the length and width by 5 each, to produce a triangle with the dimensions of 40m and 35m. Multiply the two values together to get 1400m^2.

1400 / 56 = 25, so the area is increased by a factor of 25.

The area is increased by a factor of 25

Data;

  • width = 8m
  • length = 7m
  • factor = 5

Area of Rectangle

The area of the original rectangle can be calculated using the formula of

[tex]area = length * width[/tex]

substitute the values and solve for the area

[tex]area = 8 * 7\\area = 56m^2[/tex]

When the dimension is multiplied by 5, the new area becomes

[tex]Area = (length * 5) * (width * 5)\\Area = (7*5) * (8*5)\\area = 35 * 40 \\area = 1400[/tex]

Let's divide the factored area by the original area

[tex]factor = \frac{1400}{56} =25[/tex]

The area is increased by a factor of 25

Learn more on area of a rectangle here;

https://brainly.com/question/12270878

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