A portrait without its frame has a height 1.5 times its width w, in inches. Its frame is 2 in. Wide all along its perimeter. What is an expression for the area of the framed portrait in terms of w?

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.

point a is the center of this circle.

the ratio of the lengths of (ef/bc) and (ad/ih) is 2: 1.

step-by-step explanation: