Question

A rectangle has the original dimensions of 25 in by 175 in. A scale factor of 0.5 is applied to enlarge the figure. What is the area and perimeter of the original figure? What is the area and perimeter of the new figure?

Answer 1

To solve problems for the area of a reduced or enlarged figure, first square the scale factor. Then use the given dimensions to find the area of the original figure. Multiply the square of the scale factor by the area of the original to get the reduced or enlarged figure

Explanation:

its the sample response

Answer 2

So we can easily calculate the area by multiplying both of them. That will give us an answer of 4375. Then we don't have to add the sides. So we can use my formula P = 2(w+h), not P = w+h+w+h. So we add them and we get 200. Multiply by 2 and get 400. Now we multiply by 0.5 on both. But here's the catch, we dont need to multiply the sides

we used a formula for perimeter which is 2(w+h). If you multiply that by 0.5 around the parenthesis it will also multiply each factor inside by 0.5

So to get perimeter we can get 200. Not for area, we need to multiply by 0.5 on each of the numbers. Then if we get area we get 1093.75.

Answer:

First rect: Area: 4375

First rect: Perimeter: 400

Second rect: Area: 1093.75

Second rect: Perimeter: 200