yah57

01.04.2020 • 

Mathematics

Beth is designing a business card. She makes a scale drawing of her old business card by using a scale factor of Five-fourths. Her scale drawing is a 2 and one-half-inch by 5-inch rectangle.The print shop says that the scale drawing is a reduction of the original card because the original card must be 3 and 1/8 over 8 1/4 inches by 6 and one-fourth inches. Which explains the print shop's error and gives the correct dimensions of Beth's original card?
-The scale factor is greater than 1 so the scale drawing is an enlargement, and the original card is 2 inches by 4 inches.
-The scale factor is greater than 1 so the scale drawing is an enlargement, and the original card is 3 and three-fourths inches by 6 and one-fourth inches.
-The scale factor is a fraction so the scale drawing is a reduction, and the original card is 2 inches by 4 inches.
-The scale factor is a fraction so the scale drawing is a reduction, and the original card is 3 and three-fourths inches by 6 and one-fourth inches.

Ответ:

tashaylinm02

22.12.2022

Mathematics

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Length (L): L

width (w): 2L - 8

Area (A) = L x w

       137 = L(2L - 8)

       137 = 2L² - 8L

         0 = 2L² - 8L - 137

L =

   =          

  =  

  =  

  =

since length cannot be negative, disregard [4 - √290]/2

L = [4 + √290]/2  = 10.51

width (w): 2L - 8   = 2(10.51) - 8   = 21.02 - 8   = 13.02

width = 13.02 cm, length = 10.51 cm      

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