Giselle is going to frame a portrait of the family and place it on the mantle in the family room. The portrait is 10 inches longer than it is tall and will take up a total area of 1344 square inches once it is inside a frame that adds 2 inches to the portrait's width and height. Find the dimensions and area of the unframed portrait.

Question

aravindg · Answer

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whpalmer4 · Answer

Write the equations that represent the story:
Let Lp be the length of the portrait, and Wp be the width
Let Lf be the length of the frame, and Wf be the width

$$L_f * W_f = 1344$$$$L_p = W_p + 10$$$$L_f=L_p+2$$$$W_f=W_p+2$$

Now combine them to get an equation in terms of Lf and Lp which you should be able to solve for one, then use your solution to find the other.