Dan enlarged the size of a rectangle to a height of 22.4 in. What is the new width of the rectangle if it was originally 5.6 in tall and 1.4 in wide

Respuesta :

Answer:

The new width is 5.6 in

Step-by-step explanation:

Given

New

[tex]H_2 = 22.4[/tex]

Old

[tex]H_1 = 5.6[/tex]

[tex]W_1 = 1.4[/tex]

Required

The new width

This is calculated using the following equivalent ratio

[tex]H_2 : W_2 = H_1 : W_1[/tex]

[tex]22.4 : W_2 = 5.6 : 1.4[/tex]

Express as fraction

[tex]W_2/22.4 = 1.4/5.6[/tex]

Multiply both sides by 22.4

[tex]W_2= 1.4/5.6 * 22.4[/tex]

[tex]W_2= 5.6[/tex]