Susan enlarged to scale a rectangle with a height of 4cm and length of 11 cm her computer.The length of the new rectangle is 16.5 cm . Find the new height of the rectangle

Respuesta :

the height of the rectangle is six

Answer:

h=6 cm

Step-by-step explanation:

Hi,

The key point here is to understand that both of these rectangles have the same ratio, namely  [tex]\frac{11}{4}[/tex]

Let us draw the rectangle so that we all can visualize it better (Check it out below).

2) Setting the proportion, writing a rule of three, already like two fractions. In the Numerators the length of both rectangles, in the Denominators we will write the heights: (Check it out)

3) Doing the calculations:

(In case of code error, you may check it below too)

[tex]\frac{11}{4}=\frac{16.5}{h}\\\frac{11}{4}*4=\frac{16.5}{h}*4\\\\  11=\frac{66}{h}\\\\11*h=\frac{66}{h}*h\\11h=66\\11h:11=66:11\\h=6 cm[/tex]

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