A scale drawing of a rectangle is made by using a scale factor if 5/8. The orignal and the scale drawing are shown below. Which method can be used to find the dimensions of the orignal rectangle??

Respuesta :

Answer:

Step-by-steL_original = 28.8 in

H_original = 19.2 in

Step-by-step explanation:

Given:

- Length of scaled rectangle L_scale = 18 in

- width of the scaled rectangle H_scale= 12 in

- Scale factor = (5/8)

Find:

-Which method can be used to find the dimensions of the original rectangle

Solution:

- The best way to determine the original dimensions of the rectangle is by ratios. We have the scale factor as (5/8). so we can express:

                         L_scale = (5/8)*L_original

                         L_original = L_scale*(8/5)

                         L_original = 18*(8/5) = 28.8 in

                         H_scale = (5/8)*H_original

                         H_original = H_scale*(8/5)

                         H_original = 12*(8/5) = 19.2 in

- Hence, the original dimensions are:

                         L_original = 28.8 in

                         H_original = 19.2 inp explanation: