166k views
4 votes
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

1 Answer

3 votes

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:


A=lh

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.

User Dcgoss
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.