Question

The width of a rectangle painting is 3 in. more than twice the height. A frame that is 2.5 in. wide goes around the painting.

a. write an expression for the combined area of the painting and frame.
b. use the expression to find the combined area when the height of the painting is 12 in.
c. use the expression to find the combined area when the height of the the painting is 15 in.

Answer 1

a.
$A=(2h+8)(h+5)$

b.
If h = 12
$A=(24+8)(12+5)=(32)(17)=544$

c.
If h = 15
$A=(30+8)(15+5)=(38)(20)=760$