A rectangle with an area of 20 square units is dilated by the scale factor of 3.5. find the area of the new rectangle

Question

asked Apr 20, 2023 166k views

1 Answer

Dcgoss · Answer 1 · 2023-04-27T13:53:03+0000

We are given the area of a rectangle. The area of a rectangle is the product of the length and the height. Therefore, we have:

If we scale the rectangle by a factor of 3.5 this means that we multiply the length and the height by 3.5, like this:

$A^(\prime)=(3.5l)(3.5h)$

Solving the product:

$A^(\prime)=12.25lh$

Since "lh" is the original area we have:

$A^(\prime)=12.25A$

Now, we substitute the value of the original area:

$A^(\prime)=12.25(20)$

Solving the operations:

$A^(\prime)=245$

Therefore, the new area is 245 square units.