Question

a scale drawing of a rectangle is made by using a scale factor of 5/8. the original and the scale drawing are shown below. which method can be used to find the dimensions of the original rectangle

Answer 1

B.
`18 / (5)/(8)= 28(4)/(5)`
`inches`
`and`
`12 /(5)/(8) = 19(1)/(5)`
`inches`

Explanation:

Answer 2

L_original = 28.8 in

H_original = 19.2 in

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 in