Question

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

Answer 1

the height of the rectangle is six

Answer 2

h=6 cm

Explanation:

Hi,

The key point here is to understand that both of these rectangles have the same ratio, namely
`(11)/(4)`

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)

`(11)/(4)=(16.5)/(h)\\(11)/(4)*4=(16.5)/(h)*4\\\\  11=(66)/(h)\\\\11*h=(66)/(h)*h\\11h=66\\11h:11=66:11\\h=6 cm`