Respuesta :
Answer:
The area of the framed portrait is given by
A=1.5w²+10w+16
where A is in square inches and w is width of the portrait in inches.
Step-by-step explanation:
Given that, a portrait without its frame has height 1.5 times its width w (in inches).
The height of the portrait is (1.5×w)
= 1.5w inches
The frame is 2 inches wide all along its perimeter.
Then, the height of the portrait with frame is = (1.5w+2×2) inches
=(1.5w+4) inches.
The width of the portrait with frame is=(w+2×2) inches
=(w+4) inches.
The area of the portrait with frame is = length×width
=(1.5w+4)(w+4)
=(1.5w²+4w+6w+16)
=(1.5w²+10w+16)
The area of the framed portrait is given by
A=1.5w²+10w+16
where A is in square inches and w is width of the portrait in inches.
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