Question

A scale drawing of a rectangle is made by using a scale factor of StartFraction 5 over 8 EndFraction. The original and the scale drawing are shown below. A rectangle has a length of 18 inches and width of 12 inches. [Not drawn to scale] Which method can be used to find the dimensions of the original rectangle? 18 minus StartFraction 5 over 8 EndFraction = 17 and StartFraction 3 over 8 EndFraction inches and 12 minus StartFraction 5 over 8 EndFraction = 11 and StartFraction 3 over 8 EndFraction inches StartFraction 5 over 8 EndFraction divided by 18 = StartFraction 5 over 144 EndFraction inches and StartFraction 5 over 8 EndFraction divided by 12 = StartFraction 5 over 96 EndFraction inches 18 times StartFraction 5 over 8 EndFraction = 11 and one-fourth inches and 12 times StartFraction 5 over 8 EndFraction = 7 and one-half inches 18 divided by StartFraction 5 over 8 EndFraction = 28 and four-fifths inches and 12 divided by StartFraction 5 over 8 EndFraction = 19 and one-fifth inches

Answer 1

length of the original rectangle is 28.8 inches.

width of the original rectangle is 19.2 inches.

How to find the dimensions of the original rectangle?

given that the scale factor is

$\frac{5}{8}$

multiply the dimensions of original rectangle by 5/8 to obtain the dimensions of the scale drawing.

the following method is useful to find the dimensions of the original rectangle.

length of the original rectangle

$\frac{8}{5} \times 18 = 28.8 \: inches$

width of the original rectangle$\frac{8}{5} \times 12 = 19.2 \: inches$

learn more about dimensions of rectangle,refer

brainly.com/question/27404871

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