Question

Multi Step The height of a painting is twice its width x. You want a 3 inch wide wooden frame for the painting. The area of the frame alone is 216 square inches. a. Draw a diagram that represents this situation. b. Write a variable expression for the area of the frame alone. c. What are the dimensions of the frame?

Answer 1

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The expression in its simplest form for the area of the painting and the frame is: 2h^2+18h+402h

2

+18h+40

Solution:

Let "h" be the height

Given that,

The width of a Rectangular painting is 3 inches more than twice the height

height = h

width = 3 + 2h

The frame is 2.5 inches all around, then adding 2.5 to each side, we have

height = h + 2.5 + 2.5 = h + 5

width = 3 + 2h + 2.5 + 2.5 = 8 + 2h

Now the area of the painting and the frame is given as:

Thus the expression in its simplest form for the area of the painting and the frame is found

Step-by-step explanation:

100% correct answer

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