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Alica created a portrait that is 10 inches wide and 13 inches long she wants to put a frame that is 2 1/4 wide on each side

Sagot :

Okpalawalter8idn

Answer:

[tex]A_f=470ft[/tex]

[tex]P_f=88ft[/tex]

Step-by-step explanation:

From the question we are told that:

Width of Portrait [tex]w=10inches[/tex]

length of Portrait [tex]l=13inches[/tex]

Frame each [tex]l_W=21/4inch each[/tex]

 

Generally the equation for area of portrait A is mathematically given by

[tex]A=w*l\\A=10*13\\A=130m^2[/tex]

Generally the equation for Perimeter of portrait is mathematically given by

[tex]P=2(w+l)\\P=2(10+13)\\P=46m[/tex]

Generally the equation for area of portrait  with frame is mathematically given by

[tex]A=w_f*l_f[/tex]

where

w_f=width of portrait with frame

[tex]w_f=2*21/4+w\\w_f=2*21/4+10\\w_f=20.5ft[/tex]

l_f=Length of portrait with frame

[tex]l_f=2*21/4+l\\l_f=2*21/4+13\\l_f=23.5ft[/tex]

Therefore Area of picture with frame

[tex]A_f=w_f*l_f[/tex]

[tex]A_f=20.5*23.5[/tex]

[tex]A_f=470ft[/tex]

Generally the equation for Perimeter of portrait is mathematically given by

[tex]P_f=2(w_f+l_f)\\P_f=2(20.5+23.5)\\P_f=88ft[/tex]

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